If flying from a water balloon launcher safe altitude of 1,000 ft (305 m), calcu

Question

If flying from a water balloon launcher safe altitude of 1,000 ft (305 m), calculate how long it would take an egg to....

1) A practical problem! Western Oregon has stolen the Lumberjack. In retaliation, you and your pilot friend "hatch" a plan to drop green and gold colored eggs on the Western Oregon football field. You deploy your plan on a windless day. If flying from a water balloon launcher safe altitude of 1,000 ft (305 m), calculate how long it would take an egg to reach the field when dropped. 1) 2) With your plane moving at 90 mph (40 m/s), at what horizontal distance from directly above the stadium should you drop the eggs for them to hit the stadium?

Explanation / Answer

1) Using second equation of motion,

h = 0.5gt^2

t = sqrt(2h/g) = sqrt (2*305/9.8)

= 7.89 s answer

2) horizontal development = Vx* t

= 40*7.89

= 315.6 m answer

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