Q: A car starts from rest and accelerates at a rate of 3 m/s² for 8 seconds. What is its final velocity?
Answer: Final velocity = 0 m/s + (3 m/s² × 8 s) = 24 m/s
Q: A train decelerates uniformly from 30 m/s to rest in 20 seconds. What is its deceleration rate?
Answer: Deceleration rate = (30 m/s - 0 m/s) / 20 s = 1.5 m/s²
Q: A ball is thrown vertically upward with an initial velocity of 25 m/s. Calculate the time it takes to reach its maximum height.
Answer: Time = 25 m/s / 9.81 m/s² ≈ 2.55 s
Q: An object is thrown horizontally from a height of 40 meters with a velocity of 15 m/s. How long does it take to reach the ground?
Answer: Time = √(2 × 40 m / 9.81 m/s²) ≈ 2.02 s
Q: A cyclist covers the first half of a journey at an average speed of 10 m/s and the second half at an average speed of 15 m/s. Calculate the average speed for the whole journey.
Answer: The total distance and total time need to be determined using the given information, then use Average speed = Total distance / Total time to find the average speed.