Explanation Given information : The path of a cannonball, that`s equation is given as: y = m x − 16 v 2 ( 1 + m 2 ) x 2 Where initial velocity v = 200 f t / sec and m = tan α , where angle of inclination α = 47 0 and accordingly, m = tan 47 = 1.07237 Formula used : The path of a cannonball, that`s equation is given as: y = m x − 16 v 2 ( 1 + m 2 ) x 2 Calculation : On putting above values in given equation, it is simplified as: y = 1.07237 x − 16 ( 200 ) 2 ( 1 + ( 1.07237 ) 2 ) x 2 = 1.07237 x − 0.0004 ( 2.15 ) x 2 y = 1.07237 x − 0

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 1.4, Problem 57PS

To determine

To draw the path of a cannonball, that`s equation is given as:

y=mx−16v2(1+m2)x2

And also to determine the angle of inclination that will maximize the distance, the cannonball will travel.

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Chapter 1.4, Problem 56PS

Chapter 1.4, Problem 58PS

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Chapter 1 Solutions

Calculus

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To draw the path of a cannonball, that`s equation is given as: y = m x − 16 v 2 ( 1 + m 2 ) x 2 And also to determine the angle of inclination that will maximize the distance, the cannonball will travel.

Solution Summary: The author explains how to draw a cannonball's path and determine its angle of inclination to maximize the distance it travels.

Videos

To draw the path of a cannonball, that`s equation is given as:

y=mx−16v2(1+m2)x2

And also to determine the angle of inclination that will maximize the distance, the cannonball will travel.

Want to see the full answer?

Chapter 1 Solutions

To draw the path of a cannonball, that`s equation is given as: y = m x − 16 v 2 ( 1 + m 2 ) x 2 And also to determine the angle of inclination that will maximize the distance, the cannonball will travel.

Solution Summary: The author explains how to draw a cannonball's path and determine its angle of inclination to maximize the distance it travels.

Videos

To draw the path of a cannonball, that`s equation is given as: y=mx−16v2(1+m2)x2 And also to determine the angle of inclination that will maximize the distance, the cannonball will travel.

Want to see the full answer?

Chapter 1 Solutions

To draw the path of a cannonball, that`s equation is given as:

y=mx−16v2(1+m2)x2

And also to determine the angle of inclination that will maximize the distance, the cannonball will travel.