The slope of a mountain makes an angle of 45° with the horizontal. At the base of this mountain, a cannon is fired at an angle 0 with the horizontal, where 45° < 0 < 90°, and with initial velocity of v m/sec. Neglecting air resistance, the distance R (in meters) it drops on the slope of the mountain from the base is given by R = -(sin 0 – cos 0) cos 0, where g is the acceleration due to gravity in m/sec?. Express this formula for R in terms of 20.

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
Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...
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The slope of a mountain makes an angle of 45° with the horizontal. At the base of this
mountain, a cannon is fired at an angle 0 with the horizontal, where 45° < 0 < 90°,
and with initial velocity of v m/sec. Neglecting air resistance, the distance R (in
meters) it drops on the slope of the mountain from the base is given by
R =
-(sin 0 – cos 0) cos 0,
where g is the acceleration due to gravity in m/sec2. Express this formula for R in
terms of 20.
Transcribed Image Text:The slope of a mountain makes an angle of 45° with the horizontal. At the base of this mountain, a cannon is fired at an angle 0 with the horizontal, where 45° < 0 < 90°, and with initial velocity of v m/sec. Neglecting air resistance, the distance R (in meters) it drops on the slope of the mountain from the base is given by R = -(sin 0 – cos 0) cos 0, where g is the acceleration due to gravity in m/sec2. Express this formula for R in terms of 20.
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