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Question: the velocity of a particle moving along the xaxis is...

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The velocity of a particle moving along the x-axis is given and the position of the particle is given at some instant v(t) -4t2+40t 70 m/s s(0) 20 m Find the following: a) Determine the position of the particle as a function of time b) Determine the acceleration of the particle as a function of time c) Evaluate the position, velocity, and acceleration of the particle att d) Determine the following for the motion between t-5 and t-8s 8s a. What is the total distance traveled b. What is the total displacement c. What is the average velocity d. What is the average speed e) Sketch s(t), v(t), and a(t) for 0t s 10 s

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