College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 3, Problem 15CQ
For a fixed initial speed, the range of a projectile is determined by the angle at which it is fired. For all but the maximum, there are two angles that give the same range. Considering factors that might affect the ability of an archer to hit a target, such as wind, explain why the smaller angle (closer to the horizontal) is preferable. When would it be necessary for the archer to use the larger angle? Why does the punter in a football game use the higher trajectory?
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For a fixed initial speed, the range of a projectile is determined by the angle at which it is fired. For all but the maximum, there are two angles that give the same range. Considering factors that might affect the ability of an archer to hit a target, such as wind, explain why the smaller angle (closer to the horizontal) is preferable. When would it be necessary for the archer to use thelarger angle? Why does the punter in a football game use the higher trajectory?
In an article on the use of the sling as a weapon, the author states that a skilled slinger can sling a rock a distance of about 384 m. What is the minimum speed the rock must have when it leaves the sling to travel exactly 384 m?
To solve this problem it will be necessary to first determine the required launch angle of the projectile. What launch angle must the projectile have in order to find the minimum speed required to achieve a given horizontal distance?
A projectile is launched from a height H above the ground with speed V0 at an angle ao above the horizontal. In this problem, use a coordinate system where +y direction is upward. the+x direction is along the horizontal and to the right, and the x-coordinate of the projectile is initially zero.
In this example, the maximum height reached by the projectile and the range of a projectile was calculated for a projectile launched from a height H above the ground and at an angle ao above the horizontal line. Calculate the time of flight, range, R, and maximum height, yMAX, reached by the projectile for the following special cases:
a) Case 1: The projectile launched from the ground (H=0)
b) Case 2: The projectile is launched horizontally (ao = 0)
Chapter 3 Solutions
College Physics
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