Question

A ball rolls down a ramp, starting from rest. After 4 seconds, its velocity is 12 m/s. What is the acceleration of the ball?

A) 3 m/s²
B) 2 m/s²
C) 1.5 m/s²
D) 4.5 m/s²

Answer 1

The acceleration of the ball is found by dividing the final velocity (12 m/s) by the elapsed time (4 s), resulting in an acceleration of 3 m/s².

Step-by-step explanation:

The question asks for the acceleration of a ball that starts from rest and reaches a velocity of 12 m/s after 4 seconds. To solve for acceleration (denoted by a), we can use one of the kinematic equations:

v = u + at

where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Since the ball starts from rest, u is 0, and the equation simplifies to:

v = at

Solving for a:

a = v / t

a = 12 m/s / 4 s

a = 3 m/s²

The acceleration of the ball is 3 m/s². Therefore, the correct answer is option A) 3 m/s².