# Motion with Uniform Acceleration - Example 4

Example 4
A car is accelerated at 4 ms-2 from an initial velocity of 5 ms-1 for 10 seconds. What is the distance traveled by the car?

It's advisable to list down all the information that we have.

Acceleration, a = 4 ms-2
Initial velocity, u = 5
Time taken, t = 10s
Displacement, s = ?

The final velocity, v, is not involved, hence we select the equation $$s = ut + \frac{1}{2}a{t^2}$$ to solve the problem. $s=ut+ 1 2 a t 2 s=(5)(10)+ 1 2 (4) ( 10 ) 2 s=50+200=250m$

### Reference

$v=u+at s=ut+ 1 2 a t 2 v 2 = u 2 +2as s= 1 2 (u+v)t$