Question

A ball starts at rest and rolls down an inclined plane. The ball reaches 7.5 m/s in 3 seconds. What is the acceleration?

Answer 1

`a=2.5\ m/s^2`

Step-by-step explanation:

Motion With Constant Acceleration

It's a type of motion in which the velocity of an object changes uniformly over time.

The equation that describes the change of velocities is:

`v_f=v_o+at`

Where:

a = acceleration

vo = initial speed

vf = final speed

t = time

Solving the equation for a:

`\displaystyle a=(v_f-v_o)/(t)`

The ball starts at rest (vo=0) and rolls down an inclined plane that makes it reach a speed of vf=7.5 m/s in t=3 seconds.

The acceleration is:

`\displaystyle a=(7.5-0)/(3)`

`\boxed{a=2.5\ m/s^2}`