The position of a particle moving along an x axis is given by x = 202²-62³, where x is in meters and t is in seconds. Determine the position of the particle at t = 3.0 s. 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 -42 (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 (9) 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 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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(d) What is the maximum positive coordinate reached by the particle? (e) At what time is it reached? (f) What is the maximum positive velocity reached by the particle?
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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