A fireworks shell is accelerated from rest to a velocity of 65.0 m/s over a distance of 0.250 m. (a) How long did the acceleration last? (b) Calculate the acceleration.

Solution to 30PE

Step 1 of 1</p>

We need to find the acceleration of the shell when it moves with a velocity of 65.0m/s and for a distance of 0.250m. We also need to calculate the time for which the acceleration will exist.

Step 2 of 2</p>

Given data:

Initial velocity of the shell,

Final velocity of the shell,

We will use the third equation of motion to find the acceleration of the body,

is the final velocity

is the initial velocity

is the distance

is the acceleration.

Since the initial velocity is zero,

The equation of motion becomes,

Substitute the values,

Thus acceleration of the fire shell is