A plane is flying over thedevastated region around Jamaica after Hurricane Ivan.

Question

A plane is flying over thedevastated region around Jamaica after Hurricane Ivan. It will dropsupplies of food and clothing to the people stranded below. Theplane is flying at 20 m/s horizontally and is at a height of 2 kmfrom the ground. What distance from the island does the pilot haveto release the supplies so that they land on the island?

a) 20.4 m before reaching theisland

b) 404 m before reaching theisland

c) Directly above theisland

d) 125.2 m before reaching theisland

e) 125.2 m after passing theisland

Explanation / Answer

initial velocity of the supplies=20 m/s horizontally initial vertical velocity of the supplies=0 vertical acceleration=g=9.8 m/s2 let time taken to travel 2 km or 2000 m vertically=t s=u*t+(1/2)*g*t2 2000=0+(1/2)*9.8*t2 t=20.2 s in 20.2 s the supplies will cover a horizontaldistance=20*20.2=404.06 m the pilot have to release the supplies 404 m before reaching theisland answer is b)404 m before reaching the island

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