Draw a velocity versus time graph of a stone thrown vertically upwards and then coming downwards aft

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7. MOTION

medium

Draw a velocity versus time graph of a stone thrown vertically upwards and then coming downwards after attaining the maximum height.

Option A

Option B

Option C

Option D

Solution

When a stone is thrown upward, its velocity is at maximum. The velocity begins to drops as the stone attains height. Once the stone attains the maximum height, velocity becomes zero. After that, stone begins to fall down. At this points, velocity beings to rise. Velocity is at its maximum when the stone hits the ground.

Standard 9

Science

A body moving with uniform acceleration has velocities $20 \,m s ^{-1}$ and $30\, m s ^{-1}$. when passing two points $A$ and $B$. Then the velocity midway between $A$ and $B$ is

hard

Draw a velocity versus time graph for a body which starts to move with velocity $'u^{\prime}$ under a constant acceleration $'a'$ for time $t$. Using this graph derive an expression for distance covered $'S'$ in time $'t^{\prime}$

hard

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medium

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

easy

Two stones are thrown vertically upwards simultaneously with their initial velocities $u _{1}$ and $u _{2}$ respectively. Prove that the heights reached by them would be in the ratio of $u_{1}^{2}: u_{2}^{2}$ (Assume upward acceleration is $-\,g$ and downward acceleration to be $+g$.

hard

Draw a velocity versus time graph of a stone thrown vertically upwards and then coming downwards after attaining the maximum height.

Solution

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