For 0sts 2 , a particle moves along the x-axis. The velocity of the function is given by v(t) = sin(2t). The particle is at the position x = 2 when time is t= 0. Find the total distance traveled by the particle on the time interval 0 sts 2 b. Find the particle's displacement on the time interval 0 sts 2 What is the acceleration of the particle at time t = 3? Is the particle speeding up or slowing down? Explain.

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: Motion In Two Dimensions
Section: Chapter Questions
Problem 36AP: A particle starts from the origin with velocity 5im/s at t = 0 and moves in the xy plane with a...
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6. For 0sts
2
- , a particle moves along the x-axis. The velocity of the function is given by
V(t) = sin(2t). The particle is at the position x = 2 when time is t = 0.
Find the total distance traveled by the particle on the time interval 0 sts
2
b. Find the particle's displacement on the time interval 0 sts
2
c. What is the acceleration of the particle at time t = 3? Is the particle speeding up or
slowing down? Explain.
d. Find the position of the particle at time t = 3.
Transcribed Image Text:6. For 0sts 2 - , a particle moves along the x-axis. The velocity of the function is given by V(t) = sin(2t). The particle is at the position x = 2 when time is t = 0. Find the total distance traveled by the particle on the time interval 0 sts 2 b. Find the particle's displacement on the time interval 0 sts 2 c. What is the acceleration of the particle at time t = 3? Is the particle speeding up or slowing down? Explain. d. Find the position of the particle at time t = 3.
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