Calculating Distance with Motorcycle Patrolman and Car

[varsitymsb5]

Please help,

A motorcycle patrolman starts from rest at A 5 seconds after a car, speeding at the constant rate of 124 km/h, passes point A. If the patrolman accelerates at the rate of 6.4 m/s2 until he reaches his maximum permissible speed of 147 km/h, which he maintains, calculate the distance s from point A to the point at which he overtakes the car.

Thanks!

 

[tiny-tim]

welcome to pf!

hi varsitymsb5! welcome to pf!

use the standard constant acceleration equations for each vehicle (you'll need t in one to be t+5 in the other) …

show us what you get! ​

 

[varsitymsb5]

v=vnot+at
147/3.6=6.4t
t=6.38s
s(car)=124/3.6t'
s(moto)=147/3.6(t'-5)

I'm stuck and not sure what to do next.

 

[tiny-tim]

sorry, I'm not following this at all

rewrite the words of the question into equations