301. What does the equation \( s = ut + \frac{1}{2}at^2 \) represent?
ⓐ. Relationship between final velocity, initial velocity, acceleration, and time
ⓑ. Relationship between displacement, initial velocity, acceleration, and time
ⓒ. Relationship between average velocity, initial velocity, acceleration, and time
ⓓ. Relationship between force, mass, acceleration, and time
Correct Answer: Relationship between displacement, initial velocity, acceleration, and time
Explanation: This equation relates displacement \( s \), initial velocity \( u \), acceleration \( a \), and time \( t \).
302. If an object starts from rest, what is its displacement \( s \) in terms of initial velocity \( u \), acceleration \( a \), and time \( t \)?
ⓐ. \( s = ut + \frac{1}{2}at^2 \)
ⓑ. \( s = u + at \)
ⓒ. \( s = \frac{1}{2}(u + v)t \)
ⓓ. \( s = vt \)
Correct Answer: \( s = ut + \frac{1}{2}at^2 \)
Explanation: When an object starts from rest (\( u = 0 \)), its displacement \( s \) can be found using this equation.
303. What does \( s \) stand for in the equation \( s = ut + \frac{1}{2}at^2 \)?
ⓐ. Average displacement
ⓑ. Final displacement
ⓒ. Instantaneous displacement
ⓓ. Initial displacement
Correct Answer: Final displacement
Explanation: \( s \) represents the final displacement in the equation \( s = ut + \frac{1}{2}at^2 \).
304. In the equation \( s = ut + \frac{1}{2}at^2 \), what does \( a \) represent?
ⓐ. Average velocity
ⓑ. Acceleration
ⓒ. Final velocity
ⓓ. Time
Correct Answer: Acceleration
Explanation: \( a \) represents acceleration in the equation \( s = ut + \frac{1}{2}at^2 \).
305. Which quantity can be calculated directly from the equation \( s = ut + \frac{1}{2}at^2 \)?
ⓐ. Final velocity \( v \)
ⓑ. Time \( t \)
ⓒ. Acceleration \( a \)
ⓓ. Displacement \( s \)
Correct Answer: Displacement \( s \)
Explanation: The equation \( s = ut + \frac{1}{2}at^2 \) directly calculates the displacement \( s \) of an object.
306. What happens to an object’s displacement \( s \) if it starts from rest (\( u = 0 \)) and accelerates uniformly?
ⓐ. \( s \) remains zero
ⓑ. \( s \) decreases
ⓒ. \( s \) increases
ⓓ. \( s \) depends on acceleration
Correct Answer: \( s \) increases
Explanation: Starting from rest (\( u = 0 \)) and accelerating uniformly means the displacement \( s \) increases over time.
307. What is the equation for initial velocity \( u \) derived from \( s = ut + \frac{1}{2}at^2 \)?
ⓐ. \( u = \frac{2s}{t} – at \)
ⓑ. \( u = \frac{s}{t} – \frac{1}{2}at \)
ⓒ. \( u = \frac{2s}{t} – \frac{1}{2}at \)
ⓓ. \( u = \frac{s}{t} – at \)
Correct Answer: \( u = \frac{2s}{t} – \frac{1}{2}at \)
Explanation: Rearranging \( s = ut + \frac{1}{2}at^2 \) gives \( u = \frac{2s}{t} – \frac{1}{2}at \) when solving for initial velocity \( u \).
308. If an object has a negative initial velocity \( u \) and positive acceleration \( a \), what happens to its displacement \( s \)?
ⓐ. \( s \) is negative
ⓑ. \( s \) is positive
ⓒ. \( s \) remains zero
ⓓ. \( s \) depends on time
Correct Answer: \( s \) is positive
Explanation: Positive acceleration with negative initial velocity means the object is moving forward, hence \( s \) will be positive.
309. Which kinematic quantity remains constant if an object moves with uniform acceleration?
ⓐ. Final velocity \( v \)
ⓑ. Time \( t \)
ⓒ. Initial velocity \( u \)
ⓓ. Acceleration \( a \)
Correct Answer: Acceleration \( a \)
Explanation: If an object moves with uniform acceleration, the acceleration \( a \) remains constant throughout its motion.
310. What happens to an object’s displacement \( s \) if it starts from rest (\( u = 0 \)) and decelerates uniformly?
ⓐ. \( s \) remains zero
ⓑ. \( s \) decreases
ⓒ. \( s \) increases
ⓓ. \( s \) depends on acceleration
Correct Answer: \( s \) decreases
Explanation: Starting from rest (\( u = 0 \)) and decelerating uniformly means the displacement \( s \) decreases over time.
311. What does the equation \( v^2 = u^2 + 2as \) represent?
ⓐ. Relationship between final velocity, initial velocity, acceleration, and displacement
ⓑ. Relationship between displacement, initial velocity, acceleration, and time
ⓒ. Relationship between average velocity, initial velocity, acceleration, and time
ⓓ. Relationship between force, mass, acceleration, and displacement
Correct Answer: Relationship between final velocity, initial velocity, acceleration, and displacement
Explanation: This equation relates final velocity \( v \), initial velocity \( u \), acceleration \( a \), and displacement \( s \).
312. If an object starts from rest, what is its final velocity \( v \) in terms of initial velocity \( u \), acceleration \( a \), and displacement \( s \)?
ⓐ. \( v = \sqrt{u^2 + 2as} \)
ⓑ. \( v = u^2 + 2as \)
ⓒ. \( v = \frac{u}{2} + as \)
ⓓ. \( v = \frac{u}{s} + a \)
Correct Answer: \( v = \sqrt{u^2 + 2as} \)
Explanation: When an object starts from rest (\( u = 0 \)), its final velocity \( v \) can be found using this equation.
313. What does \( v \) stand for in the equation \( v^2 = u^2 + 2as \)?
ⓐ. Average velocity
ⓑ. Final velocity
ⓒ. Instantaneous velocity
ⓓ. Initial velocity
Correct Answer: Final velocity
Explanation: \( v \) represents the final velocity in the equation \( v^2 = u^2 + 2as \).
314. In the equation \( v^2 = u^2 + 2as \), what does \( a \) represent?
ⓐ. Average velocity
ⓑ. Acceleration
ⓒ. Displacement
ⓓ. Time
Correct Answer: Acceleration
Explanation: \( a \) represents acceleration in the equation \( v^2 = u^2 + 2as \).
315. Which quantity can be calculated directly from the equation \( v^2 = u^2 + 2as \)?
ⓐ. Displacement \( s \)
ⓑ. Time \( t \)
ⓒ. Acceleration \( a \)
ⓓ. Final velocity \( v \)
Correct Answer: Final velocity \( v \)
Explanation: The equation \( v^2 = u^2 + 2as \) directly calculates the final velocity \( v \) of an object.
316. What happens to an object’s final velocity \( v \) if it starts from rest (\( u = 0 \)) and accelerates uniformly?
ⓐ. \( v \) remains zero
ⓑ. \( v \) decreases
ⓒ. \( v \) increases
ⓓ. \( v \) depends on acceleration
Correct Answer: \( v \) increases
Explanation: Starting from rest (\( u = 0 \)) and accelerating uniformly means the final velocity \( v \) increases over time.
317. What is the equation for initial velocity \( u \) derived from \( v^2 = u^2 + 2as \)?
ⓐ. \( u = \frac{v^2}{2as} \)
ⓑ. \( u = v^2 – 2as \)
ⓒ. \( u = \sqrt{v^2 – 2as} \)
ⓓ. \( u = \frac{v^2}{2a} \)
Correct Answer: \( u = \sqrt{v^2 – 2as} \)
Explanation: Rearranging \( v^2 = u^2 + 2as \) gives \( u = \sqrt{v^2 – 2as} \) when solving for initial velocity \( u \).
318. If an object has a positive initial velocity \( u \) and negative acceleration \( a \), what happens to its final velocity \( v \)?
ⓐ. \( v \) is negative
ⓑ. \( v \) is positive
ⓒ. \( v \) remains zero
ⓓ. \( v \) depends on time
Correct Answer: \( v \) is negative
Explanation: Negative acceleration with positive initial velocity means the object is slowing down, hence \( v \) will be negative.
319. Which kinematic quantity remains constant if an object moves with uniform acceleration?
ⓐ. Final velocity \( v \)
ⓑ. Time \( t \)
ⓒ. Initial velocity \( u \)
ⓓ. Acceleration \( a \)
Correct Answer: Acceleration \( a \)
Explanation: If an object moves with uniform acceleration, the acceleration \( a \) remains constant throughout its motion.
320. What happens to an object’s final velocity \( v \) if it starts from rest (\( u = 0 \)) and decelerates uniformly?
ⓐ. \( v \) remains zero
ⓑ. \( v \) decreases
ⓒ. \( v \) increases
ⓓ. \( v \) depends on acceleration
Correct Answer: \( v \) decreases
Explanation: Starting from rest (\( u = 0 \)) and decelerating uniformly means the final velocity \( v \) decreases over time.
321. What is relative velocity?
ⓐ. Velocity relative to a stationary observer
ⓑ. Velocity relative to a moving observer
ⓒ. Velocity relative to the speed of light
ⓓ. Velocity relative to the center of the Earth
Correct Answer: Velocity relative to a stationary observer
Explanation: Relative velocity refers to the velocity of an object as observed from another object or point that is considered stationary.
322. If two cars are moving towards each other with velocities \( v_1 \) and \( v_2 \) respectively, what is their relative velocity?
ⓐ. \( v_1 + v_2 \)
ⓑ. \( |v_1 – v_2| \)
ⓒ. \( v_1 – v_2 \)
ⓓ. \( \frac{v_1 + v_2}{2} \)
Correct Answer: \( v_1 – v_2 \)
Explanation: The relative velocity between two objects moving towards each other is the difference between their velocities.
323. What does the term “relative” imply in relative velocity?
ⓐ. The velocity observed from a moving frame of reference
ⓑ. The velocity observed from a stationary frame of reference
ⓒ. The velocity relative to the observer’s location
ⓓ. The velocity relative to the object’s initial position
Correct Answer: The velocity observed from a stationary frame of reference
Explanation: Relative velocity is defined with respect to a frame of reference that is considered stationary.
324. If a car moves eastward at 60 km/h and another moves westward at 40 km/h, what is their relative velocity?
ⓐ. 100 km/h eastward
ⓑ. 20 km/h westward
ⓒ. 100 km/h westward
ⓓ. 20 km/h eastward
Correct Answer: 100 km/h westward
Explanation: Relative velocity is calculated as the difference between the velocities of the two objects. Here, it is \( 60 \text{ km/h} – 40 \text{ km/h} = 20 \text{ km/h} \) westward.
325. In a river, a boat travels southward at 8 m/s while the river current flows eastward at 3 m/s. What is the boat’s velocity relative to the river bank?
ⓐ. \( \sqrt{(8 \text{ m/s})^2 + (3 \text{ m/s})^2} \)
ⓑ. \( \sqrt{(8 \text{ m/s})^2 – (3 \text{ m/s})^2} \)
ⓒ. \( 8 \text{ m/s} + 3 \text{ m/s} \)
ⓓ. \( 8 \text{ m/s} – 3 \text{ m/s} \)
Correct Answer: \( \sqrt{(8 \text{ m/s})^2 + (3 \text{ m/s})^2} \)
Explanation: The boat’s velocity relative to the river bank is the vector sum of its velocity and the river current’s velocity, calculated using the Pythagorean theorem.
326. Why is relative velocity important in physics and everyday life?
ⓐ. It determines the speed of light
ⓑ. It explains gravitational force
ⓒ. It describes motion between different objects
ⓓ. It measures time dilation
Correct Answer: It describes motion between different objects
Explanation: Relative velocity helps in understanding how objects move relative to each other, which is crucial in physics and practical scenarios.
327. What happens to relative velocity if two objects move in the same direction?
ⓐ. Relative velocity decreases
ⓑ. Relative velocity increases
ⓒ. Relative velocity remains constant
ⓓ. Relative velocity becomes zero
Correct Answer: Relative velocity decreases
Explanation: When two objects move in the same direction, the difference between their velocities decreases, hence decreasing relative velocity.
328. If two objects have the same velocity, what is their relative velocity?
ⓐ. It depends on their masses
ⓑ. It is zero
ⓒ. It is double their individual velocities
ⓓ. It is their sum
Correct Answer: It is zero
Explanation: If two objects have the same velocity, their relative velocity is zero because there is no relative motion between them.
329. What is the relative velocity of a stationary observer with respect to a moving object?
ⓐ. It depends on the observer’s direction
ⓑ. It is the same as the object’s velocity
ⓒ. It is zero
ⓓ. It is undefined
Correct Answer: It is zero
Explanation: A stationary observer has zero relative velocity with respect to a moving object, as there is no motion relative to the stationary observer.
330. In which scenario would relative velocity be significant?
ⓐ. Two objects moving at the same speed
ⓑ. Two objects moving towards each other
ⓒ. Two objects in circular motion
ⓓ. Two objects in free fall
Correct Answer: Two objects moving towards each other
Explanation: Relative velocity is most significant when two objects are moving towards each other because it determines their approach speed relative to each other.
331. What is relative velocity in the context of different frames of reference?
ⓐ. Velocity measured by a moving observer
ⓑ. Velocity measured by a stationary observer
ⓒ. Velocity measured by an accelerating object
ⓓ. Velocity measured by an object in free fall
Correct Answer: Velocity measured by a moving observer
Explanation: Relative velocity in different frames of reference refers to the velocity observed from a frame that is in motion relative to another frame.
332. Two cars A and B are moving in the same direction. Car A is traveling at 60 km/h, and car B is traveling at 40 km/h. What is the relative velocity of car A with respect to car B?
ⓐ. 20 km/h
ⓑ. 60 km/h
ⓒ. 40 km/h
ⓓ. 100 km/h
Correct Answer: 20 km/h
Explanation: Relative velocity between two objects moving in the same direction is the difference in their velocities. Here, it’s \( 60 \text{ km/h} – 40 \text{ km/h} = 20 \text{ km/h} \).
333. What is the relative velocity of a boat moving south at 10 m/s observed from another boat moving north at 8 m/s?
ⓐ. 2 m/s south
ⓑ. 18 m/s south
ⓒ. 2 m/s north
ⓓ. 18 m/s north
Correct Answer: 18 m/s south
Explanation: Relative velocity between two moving objects is the difference in their velocities. Here, it’s \( 10 \text{ m/s} + 8 \text{ m/s} = 18 \text{ m/s} \) south.
334. How does relative velocity help in understanding motion between objects?
ⓐ. It determines the object’s mass
ⓑ. It describes the object’s size
ⓒ. It explains the object’s shape
ⓓ. It quantifies the approach or separation speed between objects
Correct Answer: It quantifies the approach or separation speed between objects
Explanation: Relative velocity provides information about how fast objects are moving towards or away from each other from different frames of reference.
335. If two objects are moving towards each other with velocities \( v_1 \) and \( v_2 \), what is their relative velocity?
ⓐ. \( v_1 + v_2 \)
ⓑ. \( |v_1 – v_2| \)
ⓒ. \( v_1 – v_2 \)
ⓓ. \( \frac{v_1 + v_2}{2} \)
Correct Answer: \( |v_1 – v_2| \)
Explanation: Relative velocity between two objects moving towards each other is the absolute difference between their velocities.
336. In which scenario would relative velocity be zero?
ⓐ. Two objects moving towards each other
ⓑ. Two objects moving in opposite directions
ⓒ. One object moving and the other stationary
ⓓ. One object moving and the other accelerating
Correct Answer: Two objects moving in opposite directions
Explanation: Relative velocity is zero when two objects move in opposite directions with the same speed.
337. How is relative velocity different from absolute velocity?
ⓐ. Absolute velocity depends on the observer’s frame of reference
ⓑ. Relative velocity is always greater than absolute velocity
ⓒ. Relative velocity depends on the objects’ masses
ⓓ. Absolute velocity is independent of the observer’s frame of reference
Correct Answer: Absolute velocity is independent of the observer’s frame of reference
Explanation: Absolute velocity is the velocity of an object measured with respect to a fixed point, while relative velocity depends on the relative motion between objects.
338. Why is relative velocity important in navigation and traffic management?
ⓐ. It determines fuel efficiency
ⓑ. It helps in avoiding collisions
ⓒ. It decides the vehicle’s weight
ⓓ. It indicates the vehicle’s size
Correct Answer: It helps in avoiding collisions
Explanation: Relative velocity helps in calculating the approach speed between vehicles or objects, crucial for avoiding collisions in navigation and traffic management.
339. What is the relative velocity of a bird flying north at 20 m/s observed from an airplane flying south at 300 m/s?
ⓐ. 280 m/s south
ⓑ. 320 m/s south
ⓒ. 280 m/s north
ⓓ. 320 m/s north
Correct Answer: 280 m/s south
Explanation: Relative velocity is the vector difference between the velocities of the bird and the airplane. Here, it’s \( 300 \text{ m/s} – 20 \text{ m/s} = 280 \text{ m/s} \) south.
340. How is relative velocity affected by the direction of motion?
ⓐ. It remains constant regardless of direction
ⓑ. It increases with the direction of motion
ⓒ. It decreases with the direction of motion
ⓓ. It reverses with the direction of motion
Correct Answer: It reverses with the direction of motion
Explanation: Relative velocity changes direction depending on whether the objects are moving towards each other or in opposite directions.
341. In a race, a cyclist overtakes a car moving with a velocity of 60 km/h. If the cyclist’s velocity is 25 km/h and they overtake the car in 30 seconds, what is the relative velocity of the cyclist with respect to the car?
ⓐ. 85 km/h
ⓑ. 35 km/h
ⓒ. 45 km/h
ⓓ. 55 km/h
Correct Answer: 45 km/h
Explanation: Relative velocity is calculated as the difference in velocities when one object overtakes another. Here, it’s \( 60 \text{ km/h} – 25 \text{ km/h} = 35 \text{ km/h} \).
342. A river flows eastward at 5 m/s. A boat moving northward at 8 m/s with respect to the water has a relative velocity of:
ⓐ. \( \sqrt{(5 \text{ m/s})^2 + (8 \text{ m/s})^2} \) east-north
ⓑ. \( \sqrt{(5 \text{ m/s})^2 – (8 \text{ m/s})^2} \) north-east
ⓒ. \( 5 \text{ m/s} + 8 \text{ m/s} \)
ⓓ. \( 5 \text{ m/s} – 8 \text{ m/s} \)
Correct Answer: \( \sqrt{(5 \text{ m/s})^2 + (8 \text{ m/s})^2} \) east-north
Explanation: Relative velocity in a river-boat problem involves vector addition of boat velocity relative to water and river velocity. Here, it’s \( \sqrt{(5 \text{ m/s})^2 + (8 \text{ m/s})^2} \) east-north.
343. An airplane is flying north at 500 km/h relative to the ground. If it encounters a tailwind blowing east at 100 km/h, what is its resultant velocity?
ⓐ. \( \sqrt{(500 \text{ km/h})^2 + (100 \text{ km/h})^2} \) north-east
ⓑ. \( 500 \text{ km/h} + 100 \text{ km/h} \)
ⓒ. \( 500 \text{ km/h} – 100 \text{ km/h} \)
ⓓ. \( 500 \text{ km/h} \)
Correct Answer: \( \sqrt{(500 \text{ km/h})^2 + (100 \text{ km/h})^2} \) north-east
Explanation: Resultant velocity in the presence of a tailwind is calculated using vector addition. Here, it’s \( \sqrt{(500 \text{ km/h})^2 + (100 \text{ km/h})^2} \) north-east.
344. In a cricket match, a fielder runs eastward at 4 m/s to catch a ball hit directly northward at 20 m/s. What is the fielder’s velocity relative to the ball?
ⓐ. \( \sqrt{(4 \text{ m/s})^2 + (20 \text{ m/s})^2} \) north-east
ⓑ. \( \sqrt{(4 \text{ m/s})^2 – (20 \text{ m/s})^2} \) north-west
ⓒ. \( 4 \text{ m/s} + 20 \text{ m/s} \)
ⓓ. \( 4 \text{ m/s} – 20 \text{ m/s} \)
Correct Answer: \( \sqrt{(4 \text{ m/s})^2 + (20 \text{ m/s})^2} \) north-east
Explanation: Relative velocity between the fielder and the ball is found by vector addition. Here, it’s \( \sqrt{(4 \text{ m/s})^2 + (20 \text{ m/s})^2} \) north-east.
345. A swimmer is trying to cross a river flowing south at 2 m/s. If the swimmer swims northward at 4 m/s relative to the water, what is the swimmer’s velocity relative to the ground?
ⓐ. 2 m/s south
ⓑ. 6 m/s north
ⓒ. \( \sqrt{(4 \text{ m/s})^2 + (2 \text{ m/s})^2} \) north
ⓓ. \( \sqrt{(4 \text{ m/s})^2 – (2 \text{ m/s})^2} \) north
Correct Answer: \( \sqrt{(4 \text{ m/s})^2 + (2 \text{ m/s})^2} \) north
Explanation: The swimmer’s velocity relative to the ground involves vector addition of swimmer’s velocity relative to water and river velocity. Here, it’s \( \sqrt{(4 \text{ m/s})^2 + (2 \text{ m/s})^2} \) north.
346. A car moves eastward at 30 m/s. If it encounters a crosswind blowing north at 10 m/s, what is its resultant velocity?
ⓐ. \( \sqrt{(30 \text{ m/s})^2 + (10 \text{ m/s})^2} \) east-north
ⓑ. \( 30 \text{ m/s} + 10 \text{ m/s} \)
ⓒ. \( 30 \text{ m/s} – 10 \text{ m/s} \)
ⓓ. \( 30 \text{ m/s} \)
Correct Answer: \( \sqrt{(30 \text{ m/s})^2 + (10 \text{ m/s})^2} \) east-north
Explanation: Resultant velocity in the presence of a crosswind is calculated using vector addition. Here, it’s \( \sqrt{(30 \text{ m/s})^2 + (10 \text{ m/s})^2} \) east-north.
347. A boat is moving north at 15 m/s relative to the water. If the river current flows east at 5 m/s, what is the boat’s velocity relative to the ground?
ⓐ. \( \sqrt{(15 \text{ m/s})^2 + (5 \text{ m/s})^2} \) north-east
ⓑ. 20 m/s
ⓒ. \( 15 \text{ m/s} + 5 \text{ m/s} \)
ⓓ. \( 15 \text{ m/s} – 5 \text{ m/s} \)
Correct Answer: \( \sqrt{(15 \text{ m/s})^2 + (5 \text{ m/s})^2} \) north-east
Explanation: The boat’s velocity relative to the ground involves vector addition of boat velocity relative to water and river velocity. Here, it’s \( \sqrt{(15 \text{ m/s})^2 + (5 \text{ m/s})^2} \) north-east.
348. In a football match, a player kicks a ball at 20 m/s northward. If the wind blows westward at 5 m/s, what is the resultant velocity of the ball?
ⓐ. \( \sqrt{(20 \text{ m/s})^2 + (5 \text{ m/s})^2} \) north-west
ⓑ. \( 20 \text{ m/s} + 5 \text{ m/s} \)
ⓒ. \( 20 \text{ m/s} – 5 \text{ m/s} \)
ⓓ. \( 20 \text{ m/s} \)
Correct Answer: \( \sqrt{(20 \text{ m/s})^2 + (5 \text{ m/s})^2} \) north-west
Explanation: Resultant velocity of the ball in the presence of wind is calculated using vector addition. Here, it’s \( \sqrt{(20 \text{ m/s})^2 + (5 \text{ m/s})^2} \) north-west.
349. A cyclist rides north at 15 km/h. If the wind blows from the east at 10 km/h, what is the cyclist’s resultant velocity?
ⓐ. \( \sqrt{(15 \text{ km/h})^2 + (10 \text{ km/h})^2} \) north-east
ⓑ. \( 15 \text{ km/h} + 10 \text{ km/h} \)
ⓒ. \( 15 \text{ km/h} – 10 \text{ km/h} \)
ⓓ. \( 15 \text{ km/h} \)
Correct Answer: \( \sqrt{(15 \text{ km/h})^2 + (10 \text{ km/h})^2} \) north-east
Explanation: Resultant velocity of the cyclist in the presence of wind is calculated using vector addition. Here, it’s \( \sqrt{(15 \text{ km/h})^2 + (10 \text{ km/h})^2} \) north-east.
350. A spaceship is moving at 2000 km/h northward relative to Earth. If it encounters a tailwind blowing east at 500 km/h, what is its resultant velocity?
ⓐ. \( \sqrt{(2000 \text{ km/h})^2 + (500 \text{ km/h})^2} \) north-east
ⓑ. \( 2000 \text{ km/h} + 500 \text{ km/h} \)
ⓒ. \( 2000 \text{ km/h} – 500 \text{ km/h} \)
ⓓ. \( 2000 \text{ km/h} \)
Correct Answer: \( \sqrt{(2000 \text{ km/h})^2 + (500 \text{ km/h})^2} \) north-east
Explanation: Resultant velocity of the spaceship in the presence of a tailwind is calculated using vector addition. Here, it’s \( \sqrt{(2000 \text{ km/h})^2 + (500 \text{ km/h})^2} \) north-east.