College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 3, Problem 67AP
A student derides to measure the muzzle velocity of a pellet shot from his gun. He points the gun horizontally. He place a target on a vertical wall a distance x away from the gun. He pellet hits the target a vertical distance y below the gun. (a) Show that the position of the pellet when traveling through the air is given by y = Ax2, where A it a constant. (b) Express the constant A In terms of the initial (muzzle) velocity and the free-fall acceleration. (c) If x = 3.00 m and y = 0 210 m, what is the initial speed of the pellet?
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If a projectile is fired with an initial speed of vo ft/s at an angle a above the horizontal, then its position after t seconds is given by the parametric equations
x = (Vo cos(a))t y = (vo sin(æ))t – 16t2
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Suppose a gun fires a bullet into the air with an initial speed of 1856 ft/s at an angle of 30° to the horizontal.
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Consider a projectile launched at a height h feet above the ground and at an angle 0 with the horizontal. If the initial velocity is v, feet per second, the path of the
projectile is modeled by the parametric equations x =
t(vo cos(0)) and y = h + (vo sin 0)t - 16t2.
A rectangular equation for the path of this projectile is y = 7 + x - 0.008x².
(a) Eliminating the parameter t from the position function for the motion of a projectile to shows that the rectangular equation is as follows.
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%3D
(c) Use a graphing utility to graph the rectangular equation for the path of the projectile. Confirm your answer in part (b) by sketching the curve represented by the
parametric equations.
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(d) Use a graphing utility to approximate the maximum height of the projectile. (Round your answers to two…
1. (a) Give an example of three vectors a, b and c for which:
a x (b x c) (a x b) x c.
(b) A car travelling due East at 25 km/h feels the wind blowing directly from the
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appears to blow from the North-East. Find the velocity (speed and direction) of
the wind. Suitable sketches should be provided.
Chapter 3 Solutions
College Physics
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