Question

A car goes 500m in 5 sec. It was moving 10 m/sec to begin with, what is
its final velocity?*

Answer 1

v = 190 m/s

Step-by-step explanation:

Given that,

Initial velocity of a car, u = 10 m/s

Distance, d = 500 m

Time, t = 5 s

We need to find the final velocity of the car. Firstly we can find the acceleration of the car using second equation of motion as follows :

`d=ut+(1)/(2)at^2\\\\500=10* 5+(a)/(2)* 5^2\\\\500=50+(25a)/(2)\\\\450=(25a)/(2)\\\\a=(450* 2)/(25)\\\\a=36\ m/s^2`

let v is the final velocity. using First equation of motion to find a as follows :

v=u+at

v=10+36(5)

v=190 m/s

So, the final velocity of the car is 190 m/s.