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)
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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