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Find the velocity function for the particle

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Reference no: EM132077027

Please include each step in solving the following problems:

1.) A particle starts moving with the initial velocity v(0) = 1 and accelerates as a(t) = sin t + t for t > 0.

(a) Find the velocity function for the particle.

(b) What would be its velocity at time t = 5.

2.) An object starts from rest and has an acceleration of a(t) = t^2 .

(a) What is its velocity after 3 seconds?

(b) What is its position after 3 seconds?

Reference no: EM132077027

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