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March 28, 2015

Homework Help: calculus

Posted by Taeyeon on Sunday, February 26, 2012 at 2:45am.

5. A particle moves along the y axis with velocity given by v(t)=tsine(t^2) for t>=0 .
a. In which direction (up or down) is the particle moving at time t = 1.5? Why?
b. Find the acceleration of the particle at time t= 1.5. Is the velocity of the particle increasing at t = 1.5? Why or why not?
c. Given that y (t) is the position of the particle at time t and that y (0) = 3, find y (2).
d. Find the total distance traveled by the particle from t = 0 to t = 2.

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