Physics Homework: Calculating Motorcycle Jump Distance Without Air Resistance"

[J89]

Homework Statement

A physics professor is attempting to jump across a river on a motorcycle. The takeoff ramp was inclined at 53 degrees, the river was 40 m wide, and the far bank was 15 m lower than the top of the ramp. Ignoring air resistance, a) what should his speed have been at the top of the ramp to have just made to the far edge of the bank. If his speed was only half the value found in a), where did he land?

Homework Equations

vx=v0cosa0
vy=vysina0

The Attempt at a Solution

I tried a bunch of methods..all came out wrong:( Help please. I made a drawing for reference..

 

[rl.bhat]

Can you find an equation of projectile motion which gives the relation between x-displacement, y- displacement, angle of projection and initial velocity?

 

[J89]

Can you find an equation of projectile motion which gives the relation between x-displacement, y- displacement, angle of projection and initial velocity?

No not really

 

[rl.bhat]

OK.
y = x[tan(theta)] - g*x^2/2[Vo*cos(theta)]^2