Question: For 0 is less than or equal to t and t is less than or equal to 2, a particle moves along the x axis. The velocity of the particle at time t is given by v(t)=te^-t/3 -.5 At time t=0 the particle is at position x=2.
A. Find the particles position at time t =2 using integration by parts.
B. Write, but do not evaluate an expression involving one or more integrals which gives the particles total distance traveled from time t=0 to time t=2
C. Find the particles acceleration at time t. Is speed of the particle increasing or decreasing at time t=3? Explain your answer. Edit
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