25% Part (a) What is the velocity as a function of time? A 25% Part (b) What is the acceleration as a function of time? a(t):

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(9%) Problem 15: The position of a particle is given by r = (at²)i + (bt³)j + (ct¯²)k, where a, b, and c are constants.
A 25% Part (a) What is the velocity as a function of time?
A 25% Part (b) What is the acceleration as a function of time?
a(t) =
В
i
a
d
m
Hints: 25% deduction per hint. Hints remaining: 1
Submit
Y
j
b
n
Hint
Ө
k
с
h
t
^^^
7
4
1
Feedback
9 HOME
8
5 6
2 3
+ -
0
END
VO BACKSPACE DEL CLEAR
I give up!
Feedback: 0% deduction per feedback.
25% Part (c) Suppose a = 4.14 m/s², b = -3.3 m/s³, and c = -88.3 ms². What is the particle's speed, in m/s, at t = 2.25 s?
25% Part (d) Referring to the values given in part (c), what is the magnitude of the particle's acceleration, in m/s², at t = 2.25 s?
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Transcribed Image Text:(9%) Problem 15: The position of a particle is given by r = (at²)i + (bt³)j + (ct¯²)k, where a, b, and c are constants. A 25% Part (a) What is the velocity as a function of time? A 25% Part (b) What is the acceleration as a function of time? a(t) = В i a d m Hints: 25% deduction per hint. Hints remaining: 1 Submit Y j b n Hint Ө k с h t ^^^ 7 4 1 Feedback 9 HOME 8 5 6 2 3 + - 0 END VO BACKSPACE DEL CLEAR I give up! Feedback: 0% deduction per feedback. 25% Part (c) Suppose a = 4.14 m/s², b = -3.3 m/s³, and c = -88.3 ms². What is the particle's speed, in m/s, at t = 2.25 s? 25% Part (d) Referring to the values given in part (c), what is the magnitude of the particle's acceleration, in m/s², at t = 2.25 s? All content 8. 2022 Export TA LLC. Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining: 999 (0% per attempt) detailed view
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