$A$ large truck and a mini bus both moving with a velocity of magnitude $V$ have a head-on collision and both of them come to a halt after that. If the collision lasts for $1 \, s$:
$(a)$ Which vehicle experiences the greater force of impact?
$(b)$ Which vehicle experiences the greater change in momentum?
$(c)$ Which vehicle experiences the greater acceleration?

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$(a-d)$ According to Newton's third law, the force exerted by the truck on the bus is equal in magnitude to the force exerted by the bus on the truck. Therefore, both vehicles experience the same force of impact.
$(b)$ Change in momentum $(\Delta p)$ is given by $m(v - u)$. Since the truck has a larger mass $(M > m)$, the magnitude of the change in momentum $|M(0 - V)|$ is greater for the truck than for the mini bus $|m(0 - V)|$.
$(c)$ Acceleration is given by $a = F/m$. Since both experience the same force $(F)$ but the mini bus has a smaller mass $(m)$, the mini bus experiences greater acceleration.

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