(D) At the highest point of vertical motion,the body momentarily comes to rest,so the velocity $v = 0$. However,the acceleration due to gravity $g$ co

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Velocity is zero at the highest point and maximum height reached is $u^2 / 2g$.

(D) At the highest point of vertical motion,the body momentarily comes to rest,so the velocity $v = 0$. However,the acceleration due to gravity $g$ continues to act downwards throughout the motion. Using the kinematic equation $v^2 = u^2 - 2gH$,at the highest point $v = 0$,so $0 = u^2 - 2gH_{\max}$. Solving for $H_{\max}$,we get $H_{\max} = u^2 / 2g$. Therefore,option $D$ is the correct statement.

Class 11 Physics Motion in Straight Line Motion Under Gravity

Easy

$A$ body is thrown vertically upwards with a velocity $u$. Find the true statement from the following:

A
Both velocity and acceleration are zero at its highest point.
B
Velocity is maximum and acceleration is zero at the highest point.
C
Velocity is maximum and acceleration is $g$ downwards at its highest point.
D
Velocity is zero at the highest point and maximum height reached is $u^2 / 2g$.

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Motion in Straight Line

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Motion Under Gravity

If a body is thrown up with the velocity of $15 \, m/s$,then the maximum height attained by the body is .......... $m$ $(g = 10 \, m/s^2)$.

Easy

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$A$ ball is thrown upward with speed $10 \, m/s$ from the top of a tower and reaches the ground with a speed $20 \, m/s$. The height of the tower is ......... $m$. (Take $g = 10 \, m/s^2$)

Easy

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$A$ stone falls freely under gravity. It covers distances $h_1, h_2$ and $h_3$ in the first $5 \ s$,the next $5 \ s$ and the next $5 \ s$ respectively. The relation between $h_1, h_2$ and $h_3$ is:

MediumAIPMT 2013

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Suggest a suitable physical situation for the following $v-t$ graph.

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$A$ ball is released from a height $h$. If $t_{1}$ and $t_{2}$ are the times required to complete the first half and the second half of the distance respectively,then choose the correct relation between $t_{1}$ and $t_{2}$.

DifficultJEE MAIN 2022

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$A$ body is thrown vertically upwards with a velocity $u$. Find the true statement from the following:

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If a body is thrown up with the velocity of $15 \, m/s$,then the maximum height attained by the body is .......... $m$ $(g = 10 \, m/s^2)$.

$A$ ball is thrown upward with speed $10 \, m/s$ from the top of a tower and reaches the ground with a speed $20 \, m/s$. The height of the tower is ......... $m$. (Take $g = 10 \, m/s^2$)

$A$ stone falls freely under gravity. It covers distances $h_1, h_2$ and $h_3$ in the first $5 \ s$,the next $5 \ s$ and the next $5 \ s$ respectively. The relation between $h_1, h_2$ and $h_3$ is:

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