An automobile and a truck start from rest at the same instant

PHYSICS · Multi-part · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line

Problem

An automobile and a truck start from rest at the same instant, with the automobile initially some distance behind the truck. The truck has a constant acceleration of 2.2 m s−22.2\text{ m s}^{-2} and the automobile has an acceleration of 3.5 m s−23.5\text{ m s}^{-2}. The automobile overtakes the truck when the truck has moved 60 m60\text{ m}. (1) How much time does it take the automobile to overtake the truck? (2) How far was the automobile behind the truck initially? (3) What is the speed of each during overtaking?

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