Q3. A particle moving in an xy plane has components of the position vector of x = (0.0t- 4.0t^2)m and = (-4.0t^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,

Q3. A particle moving in an xy plane has components of the position vector of x = (0.0t- 4.0t^2)m and = (-4.0t^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,

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 31P

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Concept explainers

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

Q3. A particle moving in an xy plane has components of the position vector of x =
(0.0t- 4.0t^2)m and = (-4.0t^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 and t - 3.0s,
e. the instantaneous acceleration at t = 3.0 s.

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