Question:
Two bodies of different masses $m_a \, and \, m_b$ are allowed to fall from different heights $a$ and $b$. The ratio of time taken by the two to cover these distances are
Two bodies of different masses $m_a \, and \, m_b$ are allowed to fall from different heights $a$ and $b$. The ratio of time taken by the two to cover these distances are
Updated On: Jul 7, 2022
- a : b
- b : a
- $\sqrt a:\sqrt b$
- $a^2 :b^2$.
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The Correct Option is C
Solution and Explanation
Using, S = $ut + \frac{1}{2} gt^2 $,
we get $t \propto \sqrt{s}$
$\therefore t_2:t_2::\sqrt{a}:\sqrt{b}$
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.