If the displacement of a body is proportional to the square of the time elapsed, what type of motion does the body possess ?
The body has uniform acceleration.
A girl of mass $50\, kg$ jumps out of a moving boat of mass $300\, kg$ on to the bank with a horizontal velocity of $3\, m s ^{-1}$. With, what velocity, does the boat begin to move backwards ?
Write true or false for the following statements
A motion is said to be uniform, if $x \propto t^{2}$
Draw the distance$-$time graph for the following situations
$(a)$ When a body is stationary.
$(b)$ When a body is moving with a uniform speed.
$(c)$ When a body is moving with non$-$uniform speed.
In one$-$dimensional motion, the average velocity and the instantaneous velocity are unequal.
Diagram shows a velocity$-$time graph for a car starting from rest. The graph has three sections $A B$, $B C$ and $C D$
$(i)$ From a study of this graph, state how the distance travelled in any section is determined.
$(ii)$ Compare the distance travelled in section $BC$ with distance travelled in section $A B$.
$(iii)$ In which section car has zero acceleration ?
$(iv)$ Is the magnitude of acceleration higher or lower than, that of retardation ? Give reason.
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