Question

John attempts to “jump” across a river on a motorcycle as shown in the figure below. Ignoring air resistance, what should his speed have been at the top of the ramp to have him just made it to the edge of the far bank?

Answer 1

The x distance at time t, needs to be the distance separating the banks
x=V_0cos(Theta)*t
The time is determined by initial vertical velocity and gravity.
y=V_0sin(Theta)*t-(g*t^2)/2
V_y=V_0sin(Theta)-g*t
remember in projectile motion, the max height achieved occurs when V_y=o