1.39 ** A ball is thrown with initial speed v, up an inclined plane. The plane is inclined at an angle o above the horizontal, and the ball's initial velocity is at an angle 0 above the plane. Choose axes with x measured up the slope, y normal to the slope, and z across it. Write down Newton's second law using these axes and find the ball's position as a function of time. Show that the ball lands a distance R= 2v, sin 0 cos(0 + 4)/(g cos² p) from its launch point. Show that for given v, and p, the maximum possible range up the inclined plane is Rmax = v/[g(1+ sin ø)].

1.39 ** A ball is thrown with initial speed v, up an inclined plane. The plane is inclined at an angle o above the horizontal, and the ball's initial velocity is at an angle 0 above the plane. Choose axes with x measured up the slope, y normal to the slope, and z across it. Write down Newton's second law using these axes and find the ball's position as a function of time. Show that the ball lands a distance R= 2v, sin 0 cos(0 + 4)/(g cos² p) from its launch point. Show that for given v, and p, the maximum possible range up the inclined plane is Rmax = v/[g(1+ sin ø)].

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

1.39 classic mechanics

please provide a solution for the following

1.39 ** A ball is thrown with initial speed v, up an inclined plane. The plane is inclined at an angle
o above the horizontal, and the ball's initial velocity is at an angle 0 above the plane. Choose axes
with x measured up the slope, y normal to the slope, and z across it. Write down Newton's second law
using these axes and find the ball's position as a function of time. Show that the ball lands a distance
R = 2v? sin 0 cos(0 + ¢)/(g cos² ø) from its launch point. Show that for given v, and ø, the maximum
possible range up the inclined plane is Rmax = v?/[g(1+ sin ø)].

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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