Consider a cannonball shot from a height h above ground, with velocity v making an angle a € (0, π/2) with the horizontal axis x (the x-coordinate is horizontal and the y- coordinate is vertical). The cannonball is only subject to gravity. (a) Write the equations of motion for the position (x,y) of the cannon ball and solve them to determine the distance at which it hits the ground. (b) Use the equations of motion to find an expression for vy(y) (where vy is the y- component of the velocity) and determine the maximal height reached by the cannonball and the velocity u = (ux, uy) at which the cannonball hits the ground. (c) Compute the velocity u using energy arguments and verify that the result is in agree- ment with (b).

Consider a cannonball shot from a height h above ground, with velocity v making an angle a € (0, π/2) with the horizontal axis x (the x-coordinate is horizontal and the y- coordinate is vertical). The cannonball is only subject to gravity. (a) Write the equations of motion for the position (x,y) of the cannon ball and solve them to determine the distance at which it hits the ground. (b) Use the equations of motion to find an expression for vy(y) (where vy is the y- component of the velocity) and determine the maximal height reached by the cannonball and the velocity u = (ux, uy) at which the cannonball hits the ground. (c) Compute the velocity u using energy arguments and verify that the result is in agree- ment with (b).

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Description: Consider a cannonball shot from a height h above ground, with velocity v making anangle a € (0, π/2) with the horizontal axis x (the x-coordinate is horizontal and the y-coordinate is vertical). The cannonball is only subject to gravity.(a) Write th

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 56P: Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a...

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