A car moves along a horizontal, straight road at constant speed $v$, and the driver notices an obstacle ahead on the road.
(a)[1]
Explain why the thinking distance is directly proportional to $v$.
(b)[3]
Explain why the braking distance is proportional to $v^2$.
(c(i))[2]
Calculate the time needed to travel the thinking distance.
(c(ii))[2]
Calculate the force needed to bring the car to rest in this time.
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