A particle moves according to the equation x(t) = 10t + 2t2 - 5, where x is in meters and t is in seconds. a. Find the average velocity for the time interval from 2.00 s to 3.00 s. b. Find the average velocity for the time interval from 2.00 s to 2.10 s. Find the expression for the instantaneous velocity at any time t. C.

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Chapter1: Units, Trigonometry. And Vectors
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A particle moves according to the equation x(t)
10t + 2t2 - 5, where x is in meters and t is in
seconds.
a. Find the average velocity for the time interval from 2.00 s to 3.00 s.
b. Find the average velocity for the time interval from 2.00 s to 2.10 s.
c. Find the expression for the instantaneous velocity at any time t.
d. Find the velocity at t=2 s and at t=3 s.
e. What is the average acceleration from t-1s to t-4s?
f. Find the expression for the acceleration at any time t.
g. What is the acceleration at t=1s and at t=4s?
Transcribed Image Text:A particle moves according to the equation x(t) 10t + 2t2 - 5, where x is in meters and t is in seconds. a. Find the average velocity for the time interval from 2.00 s to 3.00 s. b. Find the average velocity for the time interval from 2.00 s to 2.10 s. c. Find the expression for the instantaneous velocity at any time t. d. Find the velocity at t=2 s and at t=3 s. e. What is the average acceleration from t-1s to t-4s? f. Find the expression for the acceleration at any time t. g. What is the acceleration at t=1s and at t=4s?
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