A ball is dropped vertically from a height d above ground. It hits ground and bounces up vertically

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2.Motion in Straight Line

hard

A ball is dropped vertically from a height $d$ above the ground. It hits the ground and bounces up vertically to a height $d/2$. Neglecting subsequent motion and air resistance, its velocity $v$ varies with the height $h$ above the ground is

(IIT-2000)

Solution

(a)For the given condition initial height $h = d$ and velocity of the ball is zero.

When the ball moves downward its velocity increases and it will be maximum when the ball hits the ground & just after the collision it becomes half and in opposite direction.

As the ball moves upward its velocity again decreases and becomes zero at height $d/2$.

This explanation match with graph (A).

Standard 11

Physics

A balloon rises, up with constant net acceleration of $10\,m / s ^2$. After $2\,s$ a particle drops from the balloon. After further $2\,s$ match the following columns. (Take $\left.g=10\,m / s ^2\right)$

colum $I$ colum $II$

$(A)$ Height of particle from ground $(p)$ $0$

$(B)$ Speed of particle $(q)$ $10$ SI unit

$(C)$ Displacement of particle $(r)$ $40$ SI unit

$(D)$ Acceleration of particle $(s)$ $20$ SI unit

hard

A ball is dropped from top of a tower of $100\,m$ height. Simultaneously another ball was thrown upward from bottom of the tower with a speed of $50\, m/s$ ($g = 10\,m/{s^2})$. They will cross each other after……….$s$

hard

A person sitting in the ground floor of a building notices through the window, of height $1.5 \;m ,$ a ball dropped from the roof of the building crosses the window in $0.1 \;s$. What is the velocity (In $m/s$) of the ball when it is at the topmost point of the window $?\left( g =10\, m / s ^{2}\right)$

medium

(NEET-2020)

A ball $P$ is dropped vertically and another ball Q is thrown horizontally with the same velocities from the same height and at the same time. If air resistance is neglected, then

easy

If a stone projected from ground, takes $4 \,s$ to reach the topmost point of its trajectory, then time of flight is ………. $s$

easy

colum $I$	colum $II$
$(A)$ Height of particle from ground	$(p)$ $0$
$(B)$ Speed of particle	$(q)$ $10$ SI unit
$(C)$ Displacement of particle	$(r)$ $40$ SI unit
$(D)$ Acceleration of particle	$(s)$ $20$ SI unit

A ball is dropped vertically from a height $d$ above the ground. It hits the ground and bounces up vertically to a height $d/2$. Neglecting subsequent motion and air resistance, its velocity $v$ varies with the height $h$ above the ground is

Solution

Similar Questions

A ball is dropped from top of a tower of $100\,m$ height. Simultaneously another ball was thrown upward from bottom of the tower with a speed of $50\, m/s$ ($g = 10\,m/{s^2})$. They will cross each other after……….$s$

A ball $P$ is dropped vertically and another ball Q is thrown horizontally with the same velocities from the same height and at the same time. If air resistance is neglected, then

If a stone projected from ground, takes $4 \,s$ to reach the topmost point of its trajectory, then time of flight is ………. $s$

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