Question:
A particle starts from rest at $ t=0 $ and moves in a straight line with an acceleration as shown in figure. The velocity of the particle at $ t=3\text{ }s $ is
A particle starts from rest at $ t=0 $ and moves in a straight line with an acceleration as shown in figure. The velocity of the particle at $ t=3\text{ }s $ is
Updated On: Mar 4, 2024
- $ 2\,m{{s}^{-1}} $
- $ 4\,m{{s}^{-1}} $
- $ 6\,m{{s}^{-1}} $
- $ 8\,m{{s}^{-1}} $
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The Correct Option is B
Solution and Explanation
Velocity at $ 3s= $ total algebraic sum of area under the curve or
$ v=4\times 2-4\times 1 $ $ =8-4=4m{{s}^{-1}} $
$ v=4\times 2-4\times 1 $ $ =8-4=4m{{s}^{-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.