Question

A race car accelerates from 50 m/s to 75 m/s over a distance of 400 m. What is the race car's acceleration?

Answer 1

`a=3.90\ m/s^2`

Step-by-step explanation:

Given that,

Initial velocity, u = 50 m/s

Final velocity, v = 75 m/s

DIstance, d = 400 m

We need to find the acceleration of the car. Let the acceleration of the car be a. We can use the third equation of motion to find it as follows :

`v^2-u^2=2ad\\\\a=(v^2-u^2)/(2d)\\\\a=((75)^2-(50)^2)/(2(400))\\\\=(3125)/(2(400))\\\\=3.90\ m/s^2`

So, the acceleration of the car is
`3.90\ m/s^2`.