ft an initial A truck travels around a portion of a circular track. The car initially has a velocity of 1 ft position of s = 0 and is increasing at a rate if a = (0.002 · t) . Hint: 1. The final position of the truck is 3/4 of the circumference of the circular track. 69 SE Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 350 ft Using normal and tangential components, a. Determine the equation for the velocity of the truck as a function of t, v(t). b. Determine the time it takes for the truck to drive 3/4ths the way around the circular track, t. i. Hint: use an online solver/calculator to solve the cubic function c. Determine the truck's velocity when it has traveled 3/4ths the way around the circular track, d. Determine the magnitude of the tangential acceleration of the truck when it has traveled 3/4ths the way around the circular track, at. e. Determine the magnitude of the normal acceleration of the truck when it has traveled 3/4ths the way around the circular track, a,. f. Determine the magnitude of the acceleration of the truck when it has traveled 3/4ths the way around the circular track, a

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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Question
A truck travels around a portion of a circular track. The car initially has a velocity of 1
an initial
position of s = 0 and is increasing at a rate if at
(0.002 · t)
Hint:
1. The final position of the truck is 3/4 of the circumference of the circular track.
ASD
69
Values for the figure are given in the following table. Note the figure may not be to scale.
Variable
Value
350 ft
Using normal and tangential components,
a. Determine the equation for the velocity of the truck as a function of t, v(t).
b. Determine the time it takes for the truck to drive 3/4ths the way around the circular track, t.
i. Hint: use an online solver/calculator to solve the cubic function
c. Determine the truck's velocity when it has traveled 3/4ths the way around the circular track, v.
d. Determine the magnitude of the tangential acceleration of the truck when it has traveled 3/4ths the
way around the circular track, at.
e. Determine the magnitude of the normal acceleration of the truck when it has traveled 3/4ths the
way around the circular track, an.
f. Determine the magnitude of the acceleration of the truck when it has traveled 3/4ths the way
around the circular track, a.
Transcribed Image Text:A truck travels around a portion of a circular track. The car initially has a velocity of 1 an initial position of s = 0 and is increasing at a rate if at (0.002 · t) Hint: 1. The final position of the truck is 3/4 of the circumference of the circular track. ASD 69 Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 350 ft Using normal and tangential components, a. Determine the equation for the velocity of the truck as a function of t, v(t). b. Determine the time it takes for the truck to drive 3/4ths the way around the circular track, t. i. Hint: use an online solver/calculator to solve the cubic function c. Determine the truck's velocity when it has traveled 3/4ths the way around the circular track, v. d. Determine the magnitude of the tangential acceleration of the truck when it has traveled 3/4ths the way around the circular track, at. e. Determine the magnitude of the normal acceleration of the truck when it has traveled 3/4ths the way around the circular track, an. f. Determine the magnitude of the acceleration of the truck when it has traveled 3/4ths the way around the circular track, a.
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