a car starts from rest at constant acceleration of 2m/s2 at the same instant, a truck travelling at a constant speed of 10m/s overtakes and passes the car

i) how far beyond the starting point will the car overtake the truck
ii) after what time will this happen
iii) at what instant will be the speed of the car

I want all the answers by showing all working out. Stpe by step accordingly.

Equation of motion for he truck: s=ut

Equation of motion for the car: s=1/2at^2

the second solution gives , s=2u^2/a = 2*10^2/2 = 100m

They both travel the same distance, in the same time.

truck:
distance=10t
car:
distance=1/2 2 t^2

10t=t^2
10=t so time is ten seconds.
distance=10*t

velocitycar=2*t=20m/s

2.5m/s

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