A motorcycle daredevil is attempting to jump across as many buses as possible. The takeoff ramp makes an angle θ = 19.0° above the horizontal, and the landing ramp is identical to the takeoff ramp. The buses are parked side by side, and each bus is 2.74 m wide. The cyclist leaves the ramp with a speed of v = 34.0 m/s.
Assuming the top of the ramp is at the same height as the buses.
Select the upeard direction as positive and the top of the ramp as the origin.
The vertical motion os the bus is
y = -(1/2)gt^2 +34sin(19)*t
When the motorcycle reaches the other ramp, the vertical height is 0, thus
= -(1/2)gt^2 + 34sin(19)t
Solving for t,
t = 2.26 sec
During the 2.26 s, the motorcycle travels a horizontal distance of
d = 34cos(19)2.26
d = 72.65 m
The number of buses the motorcycle jumps over is
n = 72.65/2.74
n = 26 buses
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