Question

Find the uniform acceleration that causes a car's velocity to change from 27 m/s to 93 m/s in an 5.0-s period.

Answer 1

To find the uniform acceleration that changes a car's velocity from 27 m/s to 93 m/s in 5 seconds, use the formula for acceleration 'a = (Vf - Vi) / t'. The calculated uniform acceleration is 13.2 m/s².

Step-by-step explanation:

The uniform acceleration required to change a car's velocity from 27 m/s to 93 m/s over a 5.0-second period can be found using the formula ‘a = (Vf - Vi) / t’, where ‘Vf’ is the final velocity, ‘Vi’ is the initial velocity, and ‘t’ is the time in seconds.

By substituting the given values into the formula, the acceleration ‘a’ is calculated as follows:

‘a = (93 m/s - 27 m/s) / 5.0 s = 66 m/s² / 5.0 s = 13.2 m/s²’

Therefore, the average acceleration of the car during the 5.0-s interval is 13.2 m/s².

Answer 2

This is a uniformly varied rectilinear motion exercise.

To start solving this exercise, we obtain the following data:

Final Velocity (Vf) = 93 m/s

Initial Velocity (Vo) = 27 m/s

Time (T) = 0.5 s

To calculate the acceleration; we subtract the final velocity minus the initial velocity, divided by the time. For which we apply the following formula:

α = Vf - Vo/t

We substitute our data into the formula.

α = 93 m/s - 27 m/s / 0.5 s

α = 132 m/s²

Answer: Uniform acceleration is 132 m/s².✅

Skandar