The position of a particle moving along an x axis is given by x = 2012- 6³, where x is in meters and t is in seconds. (a) Determine the position of the particle at t = 3.0 s. 18 m

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Chapter1: Units, Trigonometry. And Vectors
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Can you help part a through I show all work please
The position of a particle moving along an x axis is given by x = 201²- 62³, where x is in meters and t is in seconds.
Determine the position of the particle at t = 3.0 s.
18 m
18
(b) Determine the velocity of the particle at t = 3.0 s. (Indicate the direction with the sign of your answer.)
-42 m/s
(c) Determine the acceleration of the particle at t = 3.0 s. (Indicate the direction with the sign of your answer.)
-68
-68 m/s²
(d) What is the maximum positive coordinate reached by the particle?
32.9218
32.9 m
(e) At what time is it reached?
2.222
2.22 S
(f) What is the maximum positive velocity reached by the particle?
22.222
22.2 m/s
(g) At what time is it reached?
1.111
1.11 s
(h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (Indicate the direction with
the sign of your answer.)
-39.9992
40 m/s2
(i) Determine the average velocity of the particle between t = 0 and t = 3 s. (Indicate the direction with the sign of your answer.)
6 m/s
Additional Materials
• Derivative of a Polynomial
Transcribed Image Text:The position of a particle moving along an x axis is given by x = 201²- 62³, where x is in meters and t is in seconds. Determine the position of the particle at t = 3.0 s. 18 m 18 (b) Determine the velocity of the particle at t = 3.0 s. (Indicate the direction with the sign of your answer.) -42 m/s (c) Determine the acceleration of the particle at t = 3.0 s. (Indicate the direction with the sign of your answer.) -68 -68 m/s² (d) What is the maximum positive coordinate reached by the particle? 32.9218 32.9 m (e) At what time is it reached? 2.222 2.22 S (f) What is the maximum positive velocity reached by the particle? 22.222 22.2 m/s (g) At what time is it reached? 1.111 1.11 s (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (Indicate the direction with the sign of your answer.) -39.9992 40 m/s2 (i) Determine the average velocity of the particle between t = 0 and t = 3 s. (Indicate the direction with the sign of your answer.) 6 m/s Additional Materials • Derivative of a Polynomial
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