A large truck and a car, both moving with a velocity of magnitude $v$ , have a head-on collision. If the collision lasts for $1 s$ . Which vehicle experiences greater acceleration?

Car

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Truck

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Both have equal acceleration

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Cannot say

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Solution

The correct option is D Car
Let the mass of truck $= M$ , the mass of car $= m$

The velocity of truck $= v$ ;

The velocity of car $= - v$ , (Negative sign for the opposite direction of motion).

The time for which collision lasts, $t = 1 s$

Since acceleration $a = \frac{f o r c e}{m a s s}$ ,

Since, force of impact is same,

Hence, acceleration $a \propto \frac{1}{m a s s}$ .

As the mass of the car is smaller, therefore the acceleration produced in the car is greater than the acceleration of the truck.

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A large truck and a car, both moving with a velocity of magnitude v, have a head-on collision. If the collision lasts for 1 s. Which vehicle experiences greater acceleration?

A large truck and a car, both moving with a velocity of magnitude $v$ , have a head-on collision. If the collision lasts for $1 s$ . Which vehicle experiences greater acceleration?