70. Particle Motion The position at time t20 of a particle moving along the s-axis is s(1) = 10 cos (t + 1/4). (a) Give parametric equations that can be used to simulate the motion of the particle. (b) What is the particle's initial position (t = 0)? (c) What points reached by the particle are farthest to the left and right of the origin? (d) When does the particle first reach the origin? What are its velocity, speed, and acceleration then?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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70. Particle Motion The position at time t20 of a particle
moving along the s-axis is
s(1) = 10 cos (t + 1/4).
(a) Give parametric equations that can be used to simulate the
motion of the particle.
(b) What is the particle's initial position (t = 0)?
(c) What points reached by the particle are farthest to the
left and right of the origin?
(d) When does the particle first reach the origin? What are its
velocity, speed, and acceleration then?
Transcribed Image Text:70. Particle Motion The position at time t20 of a particle moving along the s-axis is s(1) = 10 cos (t + 1/4). (a) Give parametric equations that can be used to simulate the motion of the particle. (b) What is the particle's initial position (t = 0)? (c) What points reached by the particle are farthest to the left and right of the origin? (d) When does the particle first reach the origin? What are its velocity, speed, and acceleration then?
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