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
Increasing with time
Decreasing with time
Constant but not zero
Zero
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
$S = k{t^3}$
$\therefore a = \frac{{{d^2}S}}{{d{t^2}}} = 6kt$ i.e. $a \propto t$
$\therefore a = \frac{{{d^2}S}}{{d{t^2}}} = 6kt$ i.e. $a \propto t$
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