If the displacement of a body is proportional | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The displacement $s$ is proportional to the square of time $t$,which can be written as $s \propto t^2$ or $s = kt^2$,where $k$ is a constant.Accor

Vedclass · Accepted Answer

Uniform acceleration

Vedclass · Answer

(B) The displacement $s$ is proportional to the square of time $t$,which can be written as $s \propto t^2$ or $s = kt^2$,where $k$ is a constant.According to the equation of motion $s = ut + \frac{1}{2}at^2$,if the initial velocity $u = 0$,then $s = \frac{1}{2}at^2$.Comparing $s = kt^2$ with $s = \frac{1}{2}at^2$,we get $k = \frac{1}{2}a$,which implies $a = 2k$.Since $k$ is a constant,the acceleration $a$ is also constant.Therefore,the body possesses uniform acceleration.

If the displacement of a body is proportional to the square of the time elapsed,what type of motion does the body possess?

Similar Questions

Can you suggest the kind of motion of a body from the following distance-time graphs?

If the displacement-time graph for a particle is parallel to the displacement axis,what is the velocity of the particle?

$A$ body is thrown vertically upward with velocity $u$,the greatest height $h$ to which it will rise is,

Which of the following figures (Fig.) represents uniform motion of a moving object correctly?

Vedclass Test Series

Exam Paper Generator

Online Exam Module