(Two-Dimensional Motion) A missile is launched from a fighter jet cruising horizontally at a speed of 280 m/s, at an altitude of 1800 m. The initial velocity of the missile relative to the fighter jet is 160 m/s, in the forward direction. The missile is powered by its own engine, which provides it with a constant, horizontal acceleration of a = g/3 (g = 9.80 m/s²). The vertical motion of the missile, however, is a free fall (as we neglect the effect of air friction). (a) What is the initial velocity of the missile relative to the ground? (b) How long does it take for the missile to reach the ground? (c) If the missile hits a target on the ground, how far ahead of the plane horizontally was the target when the missile was launched. (d) What is the speed of the missile just before hitting the target? (e) What angle does the velocity of the missile make with the ground just before it hits the target?

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(Two-Dimensional Motion) A missile is launched from a fighter jet cruising horizontally at a speed of 280
m/s, at an altitude of 1800 m. The initial velocity of the missile relative to the fighter jet is 160 m/s, in the
forward direction. The missile is powered by its own engine, which provides it with a constant, horizontal
acceleration of a = g/3 (g = 9.80 m/s2). The vertical motion of the missile, however, is a free fall (as we
neglect the effect of air friction).
(a) What is the initial velocity of the missile relative to the ground?
(b) How long does it take for the missile to reach the ground?
(c) If the missile hits a target on the ground, how far ahead of the plane horizontally was the target when the
missile was launched.
(d) What is the speed of the missile just before hitting the target?
(e) What angle does the velocity of the missile make with the ground just before it hits the target?
Transcribed Image Text:(Two-Dimensional Motion) A missile is launched from a fighter jet cruising horizontally at a speed of 280 m/s, at an altitude of 1800 m. The initial velocity of the missile relative to the fighter jet is 160 m/s, in the forward direction. The missile is powered by its own engine, which provides it with a constant, horizontal acceleration of a = g/3 (g = 9.80 m/s2). The vertical motion of the missile, however, is a free fall (as we neglect the effect of air friction). (a) What is the initial velocity of the missile relative to the ground? (b) How long does it take for the missile to reach the ground? (c) If the missile hits a target on the ground, how far ahead of the plane horizontally was the target when the missile was launched. (d) What is the speed of the missile just before hitting the target? (e) What angle does the velocity of the missile make with the ground just before it hits the target?
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