Question:
A particle is projected with velocity $u$ inclined at an angle $\alpha$ with $x-axis$. Change in velocity of the particle on return to ground is
A particle is projected with velocity $u$ inclined at an angle $\alpha$ with $x-axis$. Change in velocity of the particle on return to ground is
Updated On: Jul 5, 2022
- $zero$
- $2 \,u$
- $2u \,cos\, \alpha$
- $2u \,sin\,\alpha$
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The Correct Option is D
Solution and Explanation
Initial velocity along y axis = u sin $\alpha$
Final velocity along y axis = - u sin $\alpha$
Change in velocity = u sin $\alpha$ - $(-u\,sin\,\alpha)$ = $2\,u\,sin\,\alpha$
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Notes on Motion in a plane
Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration