Question

select the correct answer.
in a hockey game, a ball moving at 0.5 m/s collides with a wall. after the collision, the velocity of the ball changes to 0 m/s. the collision takes 0.2 seconds to occur. whats the acceleration of the ball during the collision?
a. - 1.0 m/s²
b. 1.0 m/s²
c. - 5.0 m/s²
d. 5.0 m/s²
e. 0.24 m/s²

Explanation:

Step1: Identify the formula for acceleration

The formula for acceleration is $a=\frac{\Delta v}{\Delta t}$, where $\Delta v$ is the change in velocity and $\Delta t$ is the time - interval.

Step2: Determine the change in velocity

The ball's velocity changes direction. Let the initial velocity $v_0 = 0.5\ m/s$ and the final velocity $v = - 0.5\ m/s$ (opposite direction). So, $\Delta v=v - v_0=-0.5 - 0.5=-1.0\ m/s$.

Step3: Identify the time - interval

The time - interval $\Delta t = 0.2\ s$.

Step4: Calculate the acceleration

Substitute $\Delta v$ and $\Delta t$ into the acceleration formula: $a=\frac{\Delta v}{\Delta t}=\frac{-1.0\ m/s}{0.2\ s}=- 5.0\ m/s^{2}$.

Answer:

C. $-5.0\ m/s^{2}$