Question

A car accelerates from 5.0 m/s to to 11 m/s at a rate of 3.0 m/s^2. How far does it travel while accelerating?

20m
117m
43m
16m

Answer 1

As you know, there are some equation in physics to describe the motion of the bodies under a constant acceleration, they are called "The Equations of motion".

one of there equation has got a relation between the final velocity, initial velocity, acceleration and the distance.

in symbols:

`v^(2) _(f) =v^(2) _(i)+2ad`

where:
`v_(f)` is the final velocity,
`v_(i)` is the initial velocity,
`a` is the acceleration and
`d` is the distance

thus

`11^(2)=5.0^(2)+2*3.0*d`

`d=(121-25)/(6)=16m`