Question

A race car can be driven to a maximum speed of 33m/s. suppose the driver started at rest and underwent a constant acceleration with a magnitude of 3.0m/s^2. what distance would he have had to travel in order to reach the maximum speed?

a-0.006 m
b-125 m
c-181.5 m
d-5.5 m

Answer 1

Step by step answer:

Use this formula:
`v^(2)-v_(0)^(2) = 2aS`

Maximum speed:
`v = 33 m/s`

Started at rest:
`v_(0)=0`

Constant acceleration:
`a = 3.0 m/s^(2)`

So we can calculate
`S = (33^(2)-0^(2) )/((2)(3.0)) =181.5m`.