Question:
A body initially at rest is moving with uniform acceleration $a$. Its velocity after $n$ second is $ \upsilon $ . The displacement of the body in $2 s$ is:
A body initially at rest is moving with uniform acceleration $a$. Its velocity after $n$ second is $ \upsilon $ . The displacement of the body in $2 s$ is:
Updated On: Jul 12, 2022
- $ \frac{2\upsilon (n-1)}{n} $
- $ \frac{\upsilon (n-1)}{n} $
- $ \frac{\upsilon (n+1)}{n} $
- $ \frac{2\upsilon (n+1)}{n} $
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The Correct Option is A
Solution and Explanation
Displacement in last $2$ second
$ =\frac{1}{2}a{{n}^{2}}-\frac{1}{2}a{{(n-2)}^{2}} $
$ =2a(n-1) $
Acceleration $ a=\frac{\upsilon }{n} $
$ (\because t=ns) $
Displacement in last $ 2s=\frac{2\upsilon (n-1)}{n} $
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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.