Question

3 a ball rolls down a ramp for 5 seconds. if the ball started with no speed and ended with a speed of 15 m/s, what was the acceleration of the ball?

Explanation:

Step1: Recall acceleration formula

Acceleration \( a \) is given by the change in velocity \( \Delta v \) over time \( t \), so \( a=\frac{\Delta v}{t} \). Initial velocity \( u = 0 \, \text{m/s} \), final velocity \( v = 15 \, \text{m/s} \), time \( t = 5 \, \text{s} \).

Step2: Calculate change in velocity

\( \Delta v=v - u=15 - 0 = 15 \, \text{m/s} \).

Step3: Compute acceleration

Substitute into the formula: \( a=\frac{15}{5}=3 \, \text{m/s}^2 \).

Answer:

The acceleration of the ball is \( 3 \, \text{m/s}^2 \).