Optimum Angle for Jumping: Height & Distance

[icecomet]

Homework Statement

What is the optimum angle for greatest height? What is the greatest optimum for greatest distance? When on a surface below the landing surfaces is the optimum angle less than or greater than 45 degrees? What is the formula for finding the distance/height of the angle?

example question:
if the BMX bike wants to jump on the ledge that is 3.5ft and 7ft away what is the amount of power he needs to use? What is the optimum angle of the jump?
2. Relevant equ


_{3. The Attempt at a Solution [/b]
I think the optimum angle for a landing surface above the starting surface is greater than 45 degrees. I have no idea what the formula is though.}

 

[rl.bhat]

In projectile motion, the greatest height is achieved when the object is projected directly upwards. For other things just find the equation of a projectile motion.