Question:
A body initially at rest is moving with uniform acceleration $a$. Its velocity after $n\, s$ is $v$. The displacement of the body in $2\, s$ is :
A body initially at rest is moving with uniform acceleration $a$. Its velocity after $n\, s$ is $v$. The displacement of the body in $2\, s$ is :
Updated On: Jul 5, 2022
- $ \frac{2v(n-1)}{n} $
- $ \frac{v(n-1)}{n} $
- $ \frac{v(n+1)}{n} $
- $ \frac{2v(n+1)}{n} $
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The Correct Option is A
Solution and Explanation
Displacement in last $2 s=\frac{1}{2} a n^{2}-\frac{1}{2} a(n-2)^{2}=2 a(n-1)$ Acceleration $a=\frac{v}{n},$
$(\because t=n s)$ Displacement in last
$2 s=\frac{2 v(n-1)}{n}$
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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.