A particle moving in an xy plane has components of the position vector of x = (0. Ot - 4. Ot^2 )m and y = (-4. Ot^2 + t^3 )m. Find, a. the position and the displacement vectors at t = 3.0 s, b. the average velocity between t = 0.0 s and t = 3.0 s, c. the instantaneous velocity at t = 3.0 s, d. the average acceleration between t = 0.0 s andt = 3.0 s, e. the instantaneous acceleration at t = 3.0 s.

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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A particle moving in an xy plane has components of the position vector of x = (0. Ot – 4. Ot^2 )m and
y = (-4. Ot^2 + t^3 )m. Find,
a. the position and the displacement vectors at t = 3.0 s,
b. the average velocity between t = 0.0 s and t = 3.0 s,
c. the instantaneous velocity at t = 3.0 s,
d. the average acceleration between t = 0.0 s andt = 3.0 s,
e. the instantaneous acceleration at t = 3.0 s.
Transcribed Image Text:A particle moving in an xy plane has components of the position vector of x = (0. Ot – 4. Ot^2 )m and y = (-4. Ot^2 + t^3 )m. Find, a. the position and the displacement vectors at t = 3.0 s, b. the average velocity between t = 0.0 s and t = 3.0 s, c. the instantaneous velocity at t = 3.0 s, d. the average acceleration between t = 0.0 s andt = 3.0 s, e. the instantaneous acceleration at t = 3.0 s.
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