A particle moves along the x axis according to the equation x(t)=3+3t-4t^2, "x" is in meters and t is in seconds. a) Find the speed at t=2 seconds. b) Find the speed at t=5 seconds. c)The average speed between t=2 s and t=5 s. d) The instantaneous speed at t= 2 s. and t= 5 s. e) The average acceleration at t=3 s and t=5s. f) The instantaneous acceleration at t=3 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
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 10P: An object moves along the x axis according to the equation x = 3.00t2 2.00t + 3.00, where x is in...
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A particle moves along the x axis according to the equation x(t)=3+3t-4t^2, "x" is in meters and t is in seconds.

a) Find the speed at t=2 seconds.
b) Find the speed at t=5 seconds.
c)The average speed between t=2 s and t=5 s.
d) The instantaneous speed at t= 2 s. and t= 5 s.
e) The average acceleration at t=3 s and t=5s.
f) The instantaneous acceleration at t=3 s.

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