A block of mass M is projected up a frictionless inclined plane with a speed VO. The angle of incline is given as theta

frictionless
frictionless-incline

#1

A block of mass M is projected up a frictionless inclined plane with a speed VO. The angle of incline is given as theta.
a. How far up the plane does it go?
b. How much time does it take to get there

Answer:

the vertical component of the velocity is … VO cos(Θ) … the time to reach max height is the vertical velocity, divided by the gravitational acceleration … t = [VO cos(Θ)]/g … the distance up the plane is the speed multiplied by the time … d = VO * t