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.

Step-by-step explanation:

The formula to calculate the time is

`t=(v_f-v_i)/(a)`

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

`\begin{gathered} t=(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.