help with this question

[Teen]

someone pls do this question
A speeding motorbike travels past a stationary poilce car at a speed of 35ms^-1.The police car starts accelerating immediately at 4m^-2 and keeps accelerating at the rate until it has passed the bike.
1) how far does the police car travels before it overtake the motorbike
2)at what time does the police overtake the motorbike?

can u pls show full working out ...THANKS u

[Phy124]

I'll do 2) before 1);

The police car's motion can be modeled by the equation;





The motorbikes motion can be modeled by the equation;





Solve these two equations to equal each other (this will be when they have travelled the same distance);







and (ignore the former result that was the first time they passed each other - which we already know)

Then to find the distance they travelled plug this time value into either equation;