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Prove that the trajectory of a projectile is parabolic,

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 48PE Chapter 3

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 48PE

Prove that the trajectory of a projectile is parabolic, having the form y = ax + bx2 . To obtain this expression, solve the equation x = v0x t for t and substitute it into the expression for y = v0y t – (1 / 2)gt2 (These equations describe the x and y positions of a projectile that starts at the origin.) You should obtain an equation of the form y = ax + bx2 where a and b are constants.

Step-by-Step Solution:

Step 1 of 5:

        A projectile is a body that is thrown at air moves with certain initial velocity and travels under the action of velocity. The velocity of the projectile is either increasing or decreasing based on the location of the projectile. Finally, the projectile hits the ground and the velocity becomes zero. The path followed by the projectile is always a part of a parabola. Our aim is to prove that the trajectory of the projectile is a parabola.

Step 2 of 5:

        The horizontal velocity of the projectile is denoted as  which is constant over the period of time. The horizontal distance traveled by the projectile over the time t is given by

        Since the projectile start from rest, , therefore the above equation becomes

Step 3 of 5:

        At a particular instant of time , the projectile may reach vertical distance  and velocity in the vertical direction is  and this varies under the action of gravity.

        The vertical distance traveled by the projectile

        

Step 4 of 5

Chapter 3, Problem 48PE is Solved
Step 5 of 5

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

Since the solution to 48PE from 3 chapter was answered, more than 435 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 48PE from chapter: 3 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. The answer to “Prove that the trajectory of a projectile is parabolic, having the form y = ax + bx2 . To obtain this expression, solve the equation x = v0x t for t and substitute it into the expression for y = v0y t – (1 / 2)gt2 (These equations describe the x and y positions of a projectile that starts at the origin.) You should obtain an equation of the form y = ax + bx2 where a and b are constants.” is broken down into a number of easy to follow steps, and 81 words. This full solution covers the following key subjects: equation, projectile, obtain, form, Expression. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. College Physics was written by and is associated to the ISBN: 9781938168000. This textbook survival guide was created for the textbook: College Physics , edition: 1.

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