You are a daring student and you wish to attempt a motorcycle jump across a line

Question

You are a daring student and you wish to attempt a motorcycle jump across a line of semi-trucks. The takeoff ramp is 20.0 m long and inclined at 30o. The top of the ramp is 10.0 m above the ground. The line of trucks is 100 m long and you must clear the last truck. You start from rest at the bottom of the ramp and accelerate at 25.0 m/s2 to the top of the ramp before taking off.
a) What is your speed when you reach the top of the ramp?
b) Find the maximum height (above the ramp) you attain.
a) Will you make it across the line of trucks?

Explanation / Answer

By the law of energy conservation:- =>KE(bottom) = PE(top) =>1/2mv^2 = mgh =>v = v[2gh] =>v = v[2 x 9.8 x 20] =>v = 19.80 m/s =>By H = (usin?)^2/2g =>H = (19.80 x sin30*)^2/(2 x 9.8) =>H = 4.41 m

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