A sailor is stuck on a tropical island and emergency supplies areairlifted to hi

Question

A sailor is stuck on a tropical island and emergency supplies areairlifted to him before a ship can come to his rescue. The supplyplane (at an altitude of H = 137 ft) is moving horizontally andapproaching the island at a speed of v = 172 mph. How many feetbefore the island must the supply package be released if it is tojust reach the island? Specify your answer in feet to 1 decimalplace.

how to i solve this using these 3 equation?
v(t) = vo + at
x(t) = xo+ vot +1/2(at2)
vdv=adx

how to i solve this using these 3 equation?
v(t) = vo + at
x(t) = xo+ vot +1/2(at2)
vdv=adx

Explanation / Answer

You only need to use the second equation for this problem Let the distance between the island and the plane(horizontal) bex Let the time needed be t The supply is released from the plane. So its velocity only have ahorizontal component which is also equal to the velocity of the plane. X=v*t H=gt^2/2 (H is the height of plane) (2) solve eq 2 to get t and plug it in to get X.

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