Question

A trooper is moving due south along the freeway at a speed of 30.1 m/s when a red car passes the trooper. The red car moves with constant velocity of 45.4 m/s southward. At the instant the trooper's car is passed, the trooper begins to speed up at a constant rate of 2.0 m/s2. What is the maximum distance ahead of the trooper that is reached by the red car

Answer 1

The correct answer to the following question will be "41.87 m".

Step-by-step explanation:

The given values are:

The speed of trooper =
`30.1 \ m/s`

The velocity of red car =
`45.4 \ m/s`

Now,

A red car goes as far as possible until the speed or velocity of the troops is the same as that of of the red car at

`t=(45-30)/(2.7)` (∵
`time=(distance)/(time)`)

`t=5.56 \ sec`

then,

The distance covered by trooper,

`t1=30* 5.56+(1)/(2)* 2.7* (5.56)^2`

`=208.33 \ m`

The distance covered by red car,

=
`45* 5.56`

=
`250.2 \ m`

Maximum distance =
`250.2-208.33`

=
`41.87 \ m`