How far does it travel?

Question

A car accelerates uniformly from rest to a final speed of 19 m/s in 10 seconds. How far does it travel during this period of acceleration?

Answer 1

Here is a quick way: Use average velocity for constant acceleration process.

d = (1/2)(Vo+V)t = (1/2)(0+19)(10) = 95 m

Answer 2

Use the kinematic equation

 

Δx = ½(v_f+v_i)t with v_i=0.

Answer 3

1) Find acceleration.

 

a=(v_f-v_i)/t=(19-0) (m/s)/10 s=1.9 m/s².

 

2) Use the formula for the distance traveled:

 

d=v_it+at²/2. In your case v_i=0, so 

d=at²/2;

 

Plug in numbers to get the answer.