Question

A ball accelerates down a 103cm long ramp, starting at a speed of 1.70m/s. If it takes 0.393 seconds to reach the bottom of the ramp, it will be moving at a spped of _________ m/s when it gets there.

Answer 1

The ball will be moving at a speed of 5.88 m/s when it reaches the bottom of the ramp.

Step-by-step explanation:

To find the speed of the ball when it reaches the bottom of the ramp, we can use the equation:

final velocity = initial velocity + (acceleration * time)

Given that the initial velocity is 1.70 m/s and the time taken to reach the bottom of the ramp is 0.393 seconds, we can calculate the final velocity as follows:

final velocity = 1.70 m/s + (acceleration * 0.393 s)

Since the ramp is inclined, we can assume that the acceleration is due to gravity. Therefore, the acceleration is 9.8 m/s² (downward) and we get:

final velocity = 1.70 m/s + (9.8 m/s² * 0.393 s) = 5.88 m/s