Question:
A particle is moving with constant acceleration from $A$ to $B$ in a straight line $AB$. If $u$ and $v$ are the velocities at $A$ and $B$ respectively then its velocity at the midpoint $C$ will be
A particle is moving with constant acceleration from $A$ to $B$ in a straight line $AB$. If $u$ and $v$ are the velocities at $A$ and $B$ respectively then its velocity at the midpoint $C$ will be
Updated On: Mar 4, 2024
- $ {{\left( \frac{{{u}^{2}}+{{v}^{2}}}{2u} \right)}^{2}} $
- $ \frac{u+v}{2} $
- $ \frac{v-u}{2} $
- $ \sqrt{\frac{{{u}^{2}}+{{v}^{2}}}{2}} $
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The Correct Option is D
Solution and Explanation
We have standard result for this type of velocity $ =\sqrt{\frac{{{u}^{2}}+{{v}^{2}}}{2}} $
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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.