The vector position of a particle varies in time according to the expression r = 3.00i - 6.00t2 j ⁄ , where r 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.

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 7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...
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The vector position of a particle varies in time according to the
expression r = 3.00i - 6.00t2

j ⁄ , where r 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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