If the displacement of a body is proportional | vedclass

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(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

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Uniform acceleration

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(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

Study the speed-time graph of a car below and answer the following questions:
$(a)$ What type of motion is represented by $OA$?
$(b)$ Find the acceleration from $B$ to $C$.
$(c)$ Calculate the distance covered by the body from $A$ to $B$.

State whether the following statement is true or false:
Acceleration is defined as the rate of change of velocity.

Can the displacement of a particle be zero when the distance travelled is not zero?

Write any two equations of motion for a body having uniform acceleration.

In which of the following cases of motion,are the distance moved and the magnitude of displacement equal?

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