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

Answer:

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

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:

$\displaystyle a=\frac{v_f-v_o}{t}$

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:

$\displaystyle a=\frac{46.1-18.5}{2.47}$

$\displaystyle a=\frac{27.6}{2.47}$

$a = 11.17~m/s^2$

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