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A particle is projected wid a velocity "v" on an inclined plane , it strikes it and rebounds elastically , find total time taken to reach the ground?

A particle is projected wid a velocity "v" on an inclined plane , it strikes it and rebounds elastically , find total time taken to reach the ground?

Grade:11

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

Let the inclination of the plane be @ and projectile is thrown making an angle § with the incline.
Now, projectile makes an angle @+§ with the ground. Resolve the velocity along and perpendicular to the plane,
[assume x axis along the plane and y axis perpendicular to the plane]
Vx= v cos §
Vy=v sin §.
Also, resolve g along and perp to plane
g x= g sin @
g y= g cos @.

On solving we get the answer=6V/g root (1+8sin^2 theta)

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