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  4. The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is

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Q. The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is

Motion in a Straight Line

Solution:

As $x \propto t^{3}$
Velocity, $v \propto 3t^{2}$
Acceleration, $a\propto 6t$