College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
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
(where x and y are measured in feet).
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.
(a) After how many seconds will the bullet hit the ground?
(b) How far from the gun will the bullet hit the ground? (Round your answer to one decimal place.)
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(c) What is the maximum height attained by the bullet? (Round your answer to one decimal place.)
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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.
-16 (sec(0))2
y =
x² + tan(0)x + h
Vo
(b) Find h, vo, and 0. (Round your answers to two decimal places.)
Vo
%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…
I am working on finding the inital velocity of a class II projectile and am having trouble determining the right amount of sig figs.
The taken measurements of the initial position of x goes to 4 sig figs, as well as the final position for y.
With that being said, I am trying to find the initial velocity of x and y separately through trionometry. For example, if I have an equation for the initial velocity of x with an angle of 40, then
Vox=Vocos40
My question is, since the measured value for my angle is two significant figures, is my answer Vox=.76Vo also in two sig figs because it goes by the two significant figures from my measured angle, or should I go to four significant figures to match my measured values for x and y?
Chapter 3 Solutions
College Physics
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