(A) The equation of motion for an object falling from rest from a height $h$ is given by $h = \frac{1}{2}gt^2$,where $g$ is the acceleration due to gr

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Acceleration due to gravity in vacuum is same irrespective of size and mass of the body

(A) The equation of motion for an object falling from rest from a height $h$ is given by $h = \frac{1}{2}gt^2$,where $g$ is the acceleration due to gravity and $t$ is the time taken.Solving for $t$,we get $t = \sqrt{\frac{2h}{g}}$.In a vacuum,there is no air resistance,and the acceleration due to gravity $g$ is independent of the mass and size of the falling object.Since both balls are released from the same height $h$ and experience the same acceleration $g$,the time taken $t$ to reach the ground will be the same for both.Therefore,the correct option is $A$.

Class 11 Physics Motion in a Straight Line Motion Under Gravity

Easy

An iron ball and a wooden ball of the same radius are released from a height $h$ in vacuum. The time taken by both of them to reach the ground is equal based on:

A
Acceleration due to gravity in vacuum is same irrespective of size and mass of the body
B
Acceleration due to gravity in vacuum depends on the mass of the body
C
There is no acceleration due to gravity in vacuum
D
In vacuum there is resistance offered to the motion of the body and this resistance depends on the mass of the body

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Motion in a Straight Line

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Motion Under Gravity

$A$ helicopter rises from rest on the ground vertically upwards with a constant acceleration $g$. $A$ food packet is dropped from the helicopter when it is at a height $h$. The time taken by the packet to reach the ground is close to [$g$ is the acceleration due to gravity].

DifficultJEE MAIN 2020

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$A$ body is projected upwards with a speed $u$ and the time taken by it to reach the maximum height $H$ is $T$. Pick out the correct statement.

Difficult

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An object of mass $5 \, kg$ is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of $10 \, N$ throughout the motion. The ratio of time of ascent to the time of descent will be equal to [Use $g = 10 \, ms^{-2}$]

DifficultJEE MAIN 2022

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$A$ body dropped from a height $h$ with an initial speed zero,strikes the ground with a velocity $3 \ km/h$. Another body of the same mass is dropped from the same height $h$ with an initial speed of $4 \ km/h$. Find the final velocity of the second body with which it strikes the ground in $km/h$.

MediumAIPMT 1996

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Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at $4^{th} \, s$ after its fall and the next droplet is $34.3 \, m$. At what rate are the droplets coming from the tap? (Take $g = 9.8 \, m/s^2$)

DifficultJEE MAIN 2021

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An iron ball and a wooden ball of the same radius are released from a height $h$ in vacuum. The time taken by both of them to reach the ground is equal based on:

Similar Questions

$A$ helicopter rises from rest on the ground vertically upwards with a constant acceleration $g$. $A$ food packet is dropped from the helicopter when it is at a height $h$. The time taken by the packet to reach the ground is close to [$g$ is the acceleration due to gravity].

$A$ body is projected upwards with a speed $u$ and the time taken by it to reach the maximum height $H$ is $T$. Pick out the correct statement.

An object of mass $5 \, kg$ is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of $10 \, N$ throughout the motion. The ratio of time of ascent to the time of descent will be equal to [Use $g = 10 \, ms^{-2}$]

$A$ body dropped from a height $h$ with an initial speed zero,strikes the ground with a velocity $3 \ km/h$. Another body of the same mass is dropped from the same height $h$ with an initial speed of $4 \ km/h$. Find the final velocity of the second body with which it strikes the ground in $km/h$.

Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at $4^{th} \, s$ after its fall and the next droplet is $34.3 \, m$. At what rate are the droplets coming from the tap? (Take $g = 9.8 \, m/s^2$)

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