A particle moves along the z-axis according to r(t) = 4t - 7t² m. a. What is the instantaneous velocity at t = 3 s? m/s b. What is the instantaneous speed at t = 3 s? m/s c. What is the average velocity between t=2s and t = 3 s? m/s

A particle moves along the z-axis according to r(t) = 4t - 7t² m. a. What is the instantaneous velocity at t = 3 s? m/s b. What is the instantaneous speed at t = 3 s? m/s c. What is the average velocity between t=2s and t = 3 s? m/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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

A particle moves along the x-axis according to r(t) = 4t - 7t² m.
a. What is the instantaneous velocity at t
3 s?
m/s
b. What is the instantaneous speed at t = 3 s?
m/s
c. What is the average velocity between t = 2 s and t = 3 s?
m/s

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