Question

In a test of a very expensive new weapons system, a military plane launches a missile in mid flight. The plane is flying level at 600 m above the ground, with a speed of 250 m/s. The missile separates from below the plane’s wing and immediately ignites its engines, giving it a forward, horizontal acceleration of 6 m/s2, in addition to the vertical acceleration due to gravity. Unfortunately, the control surfaces of the missile fail to activate, and the missile continues to fly with the motion just described until it crashes into the ground. (The military classifies the test as a “success,” reasoning that the military’s own plane was not destroyed and the missile successfully impacted the ground.)

(a) How far (what horizontal distance) from the point of separation does the missile land?

(b) What is the magnitude and direction of the impact velocity of the missile?

Answer 1

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