its maximum height. What is the angle of projection? 4. To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 300 m.s-" at 5.0° above the horizontal. It explodes on the mountainside 42.0 s after firing. What are the z and y coordinates of the shell where it explodes, relative to its firing point? 5. The pilot of an airplane notes that the compass indicates a heading due west. The airplane's speed relative to the air is 150 km.h-. The air is moving in a wind at 30.0 km.h- toward the north. Find the velocity of the airplane relative to the ground. 6. A ball is thrown with an initial speed v, at an angle 6, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/6. In terms of R and g, find (a) the time interval during which the ball is in motion, (b) the ball's speed at the peak of its path, (c) the initial vertical component of its velocity. (d) its initial speed, and the angle 6,. (e) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height. (f) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range. 7. A truck loaded with cannonball watermelons stops suddenly to avoid running over the edge of a washed-out bridge (Figure 1). The quick stop causes a mumber
its maximum height. What is the angle of projection? 4. To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 300 m.s-" at 5.0° above the horizontal. It explodes on the mountainside 42.0 s after firing. What are the z and y coordinates of the shell where it explodes, relative to its firing point? 5. The pilot of an airplane notes that the compass indicates a heading due west. The airplane's speed relative to the air is 150 km.h-. The air is moving in a wind at 30.0 km.h- toward the north. Find the velocity of the airplane relative to the ground. 6. A ball is thrown with an initial speed v, at an angle 6, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/6. In terms of R and g, find (a) the time interval during which the ball is in motion, (b) the ball's speed at the peak of its path, (c) the initial vertical component of its velocity. (d) its initial speed, and the angle 6,. (e) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height. (f) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range. 7. A truck loaded with cannonball watermelons stops suddenly to avoid running over the edge of a washed-out bridge (Figure 1). The quick stop causes a mumber
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:its maximum height. What is the angle of projection?
4. To start an avalanche on a mountain slope, an artillery shell is fired with an
initial velocity of 300 m.s-" at 5.0° above the horizontal. It explodes on the
mountainside 42.0 s after firing. What are the z and y coordinates of the shell
where it explodes, relative to its firing point?
5. The pilot of an airplane notes that the compass indicates a heading due west.
The airplane's speed relative to the air is 150 km.h-. The air is moving in a
wind at 30.0 km.h- toward the north. Find the velocity of the airplane relative
to the ground.
6. A ball is thrown with an initial speed v, at an angle 6, with the horizontal. The
horizontal range of the ball is R, and the ball reaches a maximum height R/6. In
terms of R and g, find
(a) the time interval during which the ball is in motion,
(b) the ball's speed at the peak of its path,
(c) the initial vertical component of its velocity.
(d) its initial speed, and the angle 6,.
(e) Suppose the ball is thrown at the same initial speed found in (d) but at
the angle appropriate for reaching the greatest height that it can. Find this
height.
(f) Suppose the ball is thrown at the same initial speed but at the angle for
greatest possible range. Find this maximum horizontal range.
7. A truck loaded with cannonball watermelons stops suddenly to avoid running
over the edge of a washed-out bridge (Figure 1). The quick stop causes a mumber
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