Question

A racecar accelerates uniformly from 18.5 mil to 46.1 m/s in 2.47 seconds.

What is the acceleration of the car?*

Answer 1

The acceleration of the racecar is
`\mathbf{11.17~m/s^2}`

Step-by-step explanation:

Uniformly Accelerated Motion

It's a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.

Following the definition above, the acceleration is defined as:

`\displaystyle a=(v_f-v_o)/(t)`

Where a is the constant acceleration, vo the initial speed, vf the final speed, and t the time.

The racecar goes from vo=18.5 m/s to vf=46.1 m/s in t=2.47 seconds, thus the acceleration is:

`\displaystyle a=(46.1-18.5)/(2.47)`

`\displaystyle a=(27.6)/(2.47)`

`a = 11.17~m/s^2`

The acceleration of the racecar is
`\mathbf{11.17~m/s^2}`