question1a child in danger of drowning in a river


Question1

A child in danger of drowning in a river is being downstream by a current that has a speed of 2.25 km/h. The child is 0.530km from shore and 0.825km upstream of a boat landing what time a rescue boat sets out. If boat proceeds at its greatest speed of 18.9km/hr relative to the water, what angle (in degrees) does the boat velocity make with shore?

How long does it take the boat to reach the child?


Question2

An airplane is flying horizontally with the speed of 800 km/h (220 m/s) when an engine falls off. Neglecting air resistance, assume it takes 26 s for the engine to hit the ground.

a) Find out the altitude of the plane.

b) Find out the horizontal distance that the aircraft engine falls..

c) If an airplane somehow continues to fly as if nothing happened, where is an engine relative to the airplane at the instant the engine hits the ground?

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