Problem #2 (20 points) The pilot of a helicopter that was hovering at the altitu

Question

Problem #2 (20 points) The pilot of a helicopter that was hovering at the altitude 1400 meters above the ground level dropped a bomb with the initial velocity equal zero. In 21 second he saw the bomb explosion orn the ground. Then he changed the altitude to 800 meters and dropped a second bomb with the initial velocity equal to 0 too. For the second bomb, the explosion on the ground appeared in 18 seconds. Question: At what speed the second bomb hit the ground and exploded if it is known that the second bomb was precisely of the same size and shape as the first one but it had the mass equal to one half of the mass of the first bomb? Hints: 1) For both bombs, assume that the force of air resistance is proportional to the velocity of the body 2) The acceleration due to gravity is equal to.er meter second? xpress the required value of the speed of impact in meter/second, round-off the number

Explanation / Answer

vo = initial velocity of second bomb = 0 m/s

t = time of travel = 18 sec

vf = final velocity of second bomb

a = acceleration = - 9.8 m/s2

using the equation

vf = vo + a t

vf = 0 + (- 9.8) (18)

vf = - 176.4 m/s

so speed = 176.4 m/s

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