The coordinates (in meters) of a rabbit’s position as functions of time t (in seconds) are given by: x(t) = −3t 2 + 4t − 2 y(t) = 6t 2 − 4t (a) What are the magnitude and direction of the instantaneous velocities at t = 0 and t = 4 seconds? (b) Find the magnitude and direction of the acceleration of the rabbit at t = 1 and t = 3 sec.

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
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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The coordinates (in meters) of a rabbit’s position as functions of time t (in seconds)
are given by:
x(t) = −3t
2 + 4t − 2
y(t) = 6t
2 − 4t
(a) What are the magnitude and direction of the instantaneous velocities at t = 0
and t = 4 seconds?

(b) Find the magnitude and direction of the acceleration of the rabbit at t = 1
and t = 3 sec.

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