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Question:
A body falls freely for $10\,sec$. Its average velocity during this journey (take $g = 10 \, ms^{-2}$)
A body falls freely for $10\,sec$. Its average velocity during this journey (take $g = 10 \, ms^{-2}$)
Updated On: Feb 23, 2024
- $100 \, ms^{-1}$
- $10 \, ms^{-1}$
- $50 \, ms^{-1}$
- $5 \, ms^{-1}$
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The Correct Option is C
Solution and Explanation
Key Idea Average velocity $=\frac{\text { Total Displacement }}{\text { Time interval }}$
In $10 \,s$, the distance covered by the body
Here,
$s=\frac{1}{2} g t^{2}$
$t=10 \,s$
$g =10\, ms ^{-2}$
$\therefore s =\frac{1}{2}(10) \times(10)^{2}=500 \,m$
$v_{ av }=\frac{500}{10}=50\, ms ^{-1}$
In $10 \,s$, the distance covered by the body
Here,
$s=\frac{1}{2} g t^{2}$
$t=10 \,s$
$g =10\, ms ^{-2}$
$\therefore s =\frac{1}{2}(10) \times(10)^{2}=500 \,m$
$v_{ av }=\frac{500}{10}=50\, ms ^{-1}$
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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.
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