The distance travelled by a body varies directly proportional to the square of time. Find the type of motion the body has.

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Solution

Dear student ,
when the distance travelled by a body is directly proportional to the square of the time then the body has non uniform motion .

$h e r e d i s \tan c e s \propto t^{2} \Rightarrow s = k t^{2} w h e r e k i s p r o p o r t i o n a l i t y c o n s \tan t S o v e l o c i t y i s, v = \frac{d s}{d t} = 2 k t a c c e l e r a t i o n, a = \frac{d v}{d t} = k = c o n s \tan t$
Regards

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The distance travelled by a body varies directly proportional to the square of time. Find the type of motion the body has.

Dear student , when the distance travelled by a body is directly proportional to the square of the time then the body has non uniform motion . here distance s∝t2⇒s=kt2where k is proportionality constantSo velocity is , v=dsdt=2ktacceleration , a=dvdt=k=constant Regards