The drawing shows two planes each about to drop an empty fuel tank. At the momen

Question

The drawing shows two planes each about to drop an empty fuel tank. At the moment of release each plane has the same speed of 140 m/s, and each tank is at the same height of 4.00 km above the ground. Although the speeds are the same, the velocities are different at the instant of release, because one plane is flying at an angle of 15.0° above the horizontal and the other is flying at an angle of 15.0° below the horizontal. Find the magnitude and direction of the velocity with which the fuel tank hits the ground if it is from each plane. Give the directional angles with respect to the horizontal.

(a) plane A
Magnitude __________ m/s
Direction __________ ° below the horizontal


(b) plane B
Magnitude _______ m/s
Direction _______ ° below the horizontal

Explanation / Answer

for A,
horizontal vel of the tank=4cos15
vertical vel =4sin 15upwards
vertically it follows freely falling motion
so Vfvertical=u^2+2gH=280m/s

Vfhorizontal=4cos15=3.86m/s

magtinude=280.02m/s

direction=89.2 below horizontal

for B,

horizontal vel of the tank=4cos15
vertical vel =4sin 15downward
vertically it follows freely falling motion
so Vfvertical=u^2+2gH=280m/s

Vfhorizontal=4cos15=3.86m/s

magtinude=280.02m/s

direction=89.2 below horizontal

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