1. The vector position of a particle varies in time according to the expression r = (3.00 î–6.00 t² ĵ), where ŕ is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the acceleration of the particle as a function of time. (c) Calculate the particle's position and velocity at t = 1.00 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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1. The vector position of a particle varies in time according to the expression r = (3.00 î–6.00 t² ĵ),
where ŕ is in meters and t is in seconds. (a) Find an expression for the velocity of the particle
as a function of time. (b) Determine the acceleration of the particle as a function of time. (c)
Calculate the particle's position and velocity at t = 1.00 s.
Transcribed Image Text:1. The vector position of a particle varies in time according to the expression r = (3.00 î–6.00 t² ĵ), where ŕ is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the acceleration of the particle as a function of time. (c) Calculate the particle's position and velocity at t = 1.00 s.
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