a particle is projected from surface of the inclined plane with speed u at an angle theta with the horizontal - Physics - Kinematics

Question

a particle is projected from surface of the inclined plane with
speed u at an angle theta with the horizontal after some time the
particle collides elastically with smooth fixed inclined plane for
the first time and subsequently moves in vertical direction
starting from projection find the time taken by the particle to
reach maximum height

Ujjval Chauhan · Accepted Answer

Dear student,

Let angle of inclined plane from horizontal is α
Time of flight of particle in projectile motion before collision is
given by,
t1=2usinθ-αgcosα
The particle will have velocity u after collision
So,time in vertical motion,
t2=ug
T=t1+t2=2usinθ-αgcosα+ug
Regards