The velocity of a particle constrained to move along the x-axis as a function of time t is given by: v(t)=−(19/t0)sin(t/t0) A:If the particle is at x=9 m when t=0, what is its position at t = 7t0. You will not need the value of t0 to solve any part of this problem. If it is bothering you, feel free to set t0=1 everywhere. B:Denote instantaneous acceleration of this particle by a(t). Evaluate the expression 9 +v(0)t+a(0)t2/2 at t = 7t0. Note that v(0) and a(0) are the velocity and acceleration at time t=0 C:Now assume that the particle is at x=0 when t=0, and find its position at t = 0.16t0. D:Evaluate v(0)t+a(0)t2/2 at t =0.16t0 to 3 significant figures. Your answers to parts (c) and (d) should be in good agreement. Try to work out why that is so before submitting the answer to part (d)

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Chapter1: Units, Trigonometry. And Vectors
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The velocity of a particle constrained to move along the x-axis as a function of time t is given by:

v(t)=−(19/t0)sin(t/t0)

A:If the particle is at x=9 m when t=0, what is its position at t = 7t0. You will not need the value of t0 to solve any part of this problem. If it is bothering you, feel free to set t0=1 everywhere.

B:Denote instantaneous acceleration of this particle by a(t). Evaluate the expression 9 +v(0)t+a(0)t2/2 at t = 7t0. Note that v(0) and a(0) are the velocity and acceleration at time t=0

C:Now assume that the particle is at x=0 when t=0, and find its position at t = 0.16t0.

D:Evaluate v(0)t+a(0)t2/2 at t =0.16t0 to 3 significant figures. Your answers to parts (c) and (d) should be in good agreement. Try to work out why that is so before submitting the answer to part (d)

 

 

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