ftA 10 lb block has an initial speed of v =4. A force of F = 8 · t lb is applied. The coefficient ofkinetic friction between the block and surface is u = 0.2.V1F = f(t)Values for the figure are given in the following table. Note the figure may not be to scale.Variable Value30 ftUsing equations of motion in rectangular coordinates,a. Find an equation for the block's horizontal acceleration as a function of t, a(t), when the blockmoves s = 30 ft.b. Find an equation for the block's velocity as a function of t, v(t) , when the block moves s = 30 ft.c. Determine the time it takes for the block to move s = 30 ft.i. Use a solver/graphing calculator to solve for the Quartic Functiond. Determine the velocity of the block at s = 30 ft.%3D

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A 10 lb block has an initial speed of vi = 4 2. A force of F = 8 · t² lb is applied. The coefficient of kinetic friction between the block and surface is u = 0.2.

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

ft
A 10 lb block has an initial speed of v =
4
. A force of F = 8 · t lb is applied. The coefficient of
kinetic friction between the block and surface is u = 0.2.
V1
F = f(t)
Values for the figure are given in the following table. Note the figure may not be to scale.
Variable Value
30 ft
Using equations of motion in rectangular coordinates,
a. Find an equation for the block's horizontal acceleration as a function of t, a(t), when the block
moves s = 30 ft.
b. Find an equation for the block's velocity as a function of t, v(t) , when the block moves s = 30 ft.
c. Determine the time it takes for the block to move s = 30 ft.
i. Use a solver/graphing calculator to solve for the Quartic Function
d. Determine the velocity of the block at s = 30 ft.
%3D

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