A projectile is projected on the inclined plane as shown `V_(1)&V_(2)` are components of it's initial velocity along the incline and perpendicular to incline and `V_(3) & V_(4)` are components of it's final velocity along the incline and perpendicular to incline. {Here we are comparing the magnitudes only}

Options

A. `V_(1) gt V_(3)`
B. `V_(1)=V_(3)`
C. `V_(2)=V_(4)`
D. `V_(2) gt V_(4)`

Answer

A, C

Explanation

`V_(3)^(2)=V_(1)^(2)-2gsin thetax so V_(3)ltV_(1)`
`V_(4)^(2)=V_(2)^(2) 2gcostheta(Deltay)=V_(2)^(2)-2gcostheta(0)=V_(2)^(2)`
`V_(4)=V_(2)`