The position of a particle at time t 2 0 is given by the parametric equations x(1) = + 4 and y(t)=r² – 4t +4. 3 (a) Find the magnitude of the velocity vector at t = 1. (b) Find the total distance traveled by the particle from t = 0 to t = 1. (c) When is the particle at rest? What is its position at that time?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...
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8. The position of a particle at time t 20 is given by the parametric equations
x()=
-+4 and y(t)=r² – 41+4.
3
(a) Find the magnitude of the velocity vector at t = 1.
(b) Find the total distance traveled by the particle from t = 0 to t = 1.
(c) When is the particle at rest? What is its position at that time?
Transcribed Image Text:8. The position of a particle at time t 20 is given by the parametric equations x()= -+4 and y(t)=r² – 41+4. 3 (a) Find the magnitude of the velocity vector at t = 1. (b) Find the total distance traveled by the particle from t = 0 to t = 1. (c) When is the particle at rest? What is its position at that time?
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