From the moment a 42 m/s fastball touches the catcher's mitt until its completely stopped takes 0.014 s. Calculate the average acceleration of the ball as it is being caught.
a=(v-v₀)/t=- 42/0.014=3000 m/s²
To calculate the average acceleration of the ball, we can use the following formula:
average acceleration = change in velocity / time
Given:
Initial velocity (u) = 42 m/s
Final velocity (v) = 0 m/s
Time (t) = 0.014 s
To find the change in velocity, subtract the final velocity from the initial velocity:
change in velocity = final velocity - initial velocity
= 0 m/s - 42 m/s
= -42 m/s
Now, substitute the values into the formula:
average acceleration = change in velocity / time
= (-42 m/s) / (0.014 s)
≈ -3000 m/s²
The average acceleration of the ball as it is being caught is approximately -3000 m/s². Note that the negative sign indicates that the ball is decelerating.
To calculate the average acceleration of the ball as it is being caught, you need to use the formula for acceleration:
acceleration = (final velocity - initial velocity) / time
Here, the initial velocity is the velocity of the ball before it touches the catcher's mitt. Since it is thrown, we know its velocity is 42 m/s. The final velocity is 0 m/s because the ball is completely stopped. The time taken to stop is given as 0.014 s.
Now let's plug in the values into the formula:
acceleration = (0 m/s - 42 m/s) / 0.014 s
Simplifying the calculation:
acceleration = -42 m/s / 0.014 s
acceleration = -3000 m/s²
So, the average acceleration of the ball as it is being caught is -3000 m/s². The negative sign indicates that the ball is decelerating (slowing down) during the catching process.