(C) When an object is dropped from a height $h$ under gravity,its motion is governed by the equation of motion $h = ut + \frac{1}{2}gt^2$. Since the i

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Both stones reach the ground simultaneously.

(C) When an object is dropped from a height $h$ under gravity,its motion is governed by the equation of motion $h = ut + \frac{1}{2}gt^2$. Since the initial velocity $u = 0$,the equation simplifies to $h = \frac{1}{2}gt^2$. Solving for time $t$,we get $t = \sqrt{\frac{2h}{g}}$. As the time of flight $t$ depends only on the height $h$ and the acceleration due to gravity $g$,and is independent of the mass of the object,both stones will reach the ground simultaneously.

Class 11 Physics Motion in Straight Line Motion Under Gravity

Medium

Two stones of different masses are dropped simultaneously from the top of a building. Which of the following statements is true regarding their motion?

A
The smaller stone hits the ground earlier.
B
The larger stone hits the ground earlier.
C
Both stones reach the ground simultaneously.
D
Which stone reaches the ground earlier depends on the composition of the stone.

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Class 11

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Motion in Straight Line

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Motion Under Gravity

$A$ player throws a ball upwards with an initial speed of $29.4\; m s^{-1}$. What are the velocity and acceleration of the ball at the highest point of its motion?

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$A$ stone is dropped from a height $h$. It hits the ground with a certain momentum $P$. If the same stone is dropped from a height $100\%$ more than the previous height,the momentum when it hits the ground will change by ........... $\%$.

MediumAIPMT 2012

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$A$ ball of mass $0.2 \, kg$ is thrown vertically upwards with a velocity of $2 \, m/s$. At the highest point of its trajectory:
$(i)$ What will be the magnitude of its velocity?
$(ii)$ What will be the magnitude of its acceleration?
$(iii)$ What will be the magnitude of the force acting on it? (Take $g = 10 \, m/s^2$.)

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$A$ person sitting on the ground floor of a building notices through a window of height $1.5 \; m$ that 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? (Take $g = 10 \; m/s^2$)

MediumNEET 2020

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Discuss the observation of Galileo for objects falling freely.

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Two stones of different masses are dropped simultaneously from the top of a building. Which of the following statements is true regarding their motion?

Similar Questions

$A$ player throws a ball upwards with an initial speed of $29.4\; m s^{-1}$. What are the velocity and acceleration of the ball at the highest point of its motion?

$A$ stone is dropped from a height $h$. It hits the ground with a certain momentum $P$. If the same stone is dropped from a height $100\%$ more than the previous height,the momentum when it hits the ground will change by ........... $\%$.

$A$ person sitting on the ground floor of a building notices through a window of height $1.5 \; m$ that 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? (Take $g = 10 \; m/s^2$)

Discuss the observation of Galileo for objects falling freely.

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