40. In this problem, a canon fires a shell in order to shoot a car S, moving with a uniform rectilinear motion behind a hill of height 100 m. The canon, placed at a horizontal distance of 146 m from the point A at the bottom of the mountain, fires a shell, at t, = 0, with an initial velocity of magnitude V. = 60 m/s making an angle 53° with the horizontal. Neglect air resistance. Given: cos 53° = 0.6; sin 53° 0.8; g=10 m/s. C. Motion of S 00m 53° 11!H Motion of the shell a) Determine the trajectory equation. b) Deduce that the shell does not hit the mountain (it moves above the point C). c) Determine the speed of the shell as it moves above C. d) Determine the time needed by the shell to reach the ground (duration of the whole journey).
40. In this problem, a canon fires a shell in order to shoot a car S, moving with a uniform rectilinear motion behind a hill of height 100 m. The canon, placed at a horizontal distance of 146 m from the point A at the bottom of the mountain, fires a shell, at t, = 0, with an initial velocity of magnitude V. = 60 m/s making an angle 53° with the horizontal. Neglect air resistance. Given: cos 53° = 0.6; sin 53° 0.8; g=10 m/s. C. Motion of S 00m 53° 11!H Motion of the shell a) Determine the trajectory equation. b) Deduce that the shell does not hit the mountain (it moves above the point C). c) Determine the speed of the shell as it moves above C. d) Determine the time needed by the shell to reach the ground (duration of the whole journey).
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 57P: In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of...
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