A daredevil on a motorcyclo attempts to clear a 420-meter-wide river from a 210-meter-high cliff. What must his initial horizontal velocity be?

His initial velocity (speed) must be 64.16 m/s.

Explanation:

Horizontal Motion

When an object is horizontally launched at a speed v from a height h, the maximum horizontal distance (also called Range) traveled by the object can be calculated as follows:

Our daredevil is attempting to clear a river d=420 m wide with his motorcycle from a cliff h=210 m high. We need to find the speed needed to safely reach the opposite edge of the river.

From the above equation, we solve for v:

Speed:

v = 64.16 m/s

His initial velocity (speed) must be 64.16 m/s.

trig 15.3 cos

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