Question

How long would it take a car to reach 50 mph (22.35 m/s) from rest if it accelerates at a rate of 2.8 m/s2 ( s squared)?

Answer 1

Given:

The initial velocity of the car is

$v_i=\text{ 0 m/s}$

The final velocity of the car is

$v_f=\text{ 22.35 m/s}$

The acceleration of the car is

$a\text{ = 2.8 m/s}^2$

Required: Time required by the car to reach final velocity from rest.

Explanation:

The formula to calculate the time is

$t=\frac{v_f-v_i}{a}$

On substituting the values, the time required by the car is

$\begin{gathered} t=\frac{22.35-0}{2.8} \\ =7.98\text{ s} \end{gathered}$

Final Answer: The time required by the car to reach the final velocity from rest is 7.98 s.