# Leaping motion Question

1. Feb 21, 2009

### J89

1. The problem statement, all variables and given/known data
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?

2. Relevant equations
vx=v0cosa0
vy=vysina0

3. The attempt at a solution

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

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Last edited: Feb 21, 2009
2. Feb 21, 2009

### 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?

3. Feb 21, 2009

### J89

No not really

4. Feb 21, 2009

### rl.bhat

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