Find (a) the x and y components of the shell’s initial velocity, (b) the total time of flight for the ball, and (c) the horizontal distance to the target?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
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An artillery shell is launched at an angle of 50˚ and velocity of 850 m/s. It hits a target on a hilltop at a height of 2000 m. Find (a) the x and y components of the shell’s initial velocity, (b) the total time of flight for the ball, and (c) the horizontal distance to the target?

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this the question from projectile motion ,we divide the motion into two parts vertical motion and horizontal motion ,

vertical motion define the time of flight and maximum height. and horizontal motion define the range.

intial velocity u=850 m/s sin50=0.766 , cos50=0.642 g=10m/s2

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