A daredevil decides to jump a canyon. It's walls are equally high and 12 m apart. He takes off by driving a motorcycle up a short ramp sloped at an angle of 19°. What minimum speed must he have in order to clear the canyon?
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Expert's answer
2019-10-10T09:53:49-0400
Let us use notation θ=19∘, L=12m.
The horizontal distance, covered by the projectile aimed at an angle θ with initial speed v0 is S=gv02sin2θ. This distance must be minimum L in order for a daredevil not to fall. Hence, from the previous equation, gv02sin2θ=L⇒v0=sin2θgL≈13.83sm.
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