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Asked Nov 21, 2019
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I am stuck on this problem.

Sinusoidal velocity variation with time
15 of 15
Review | Constants
The velocity of a particle constrained to move along
the x-axis as a function of time t is given by:
Part A
v(t)-(17/to)sin(t/to)
If the particle is at x=2 m when t 0, what is its position at t 7to. You will not need the value
of to to solve any part of this problem. If it is bothering you, feel free to set to
1 everywhere.
Express your answer to 3 significant figures.
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Sinusoidal velocity variation with time 15 of 15 Review | Constants The velocity of a particle constrained to move along the x-axis as a function of time t is given by: Part A v(t)-(17/to)sin(t/to) If the particle is at x=2 m when t 0, what is its position at t 7to. You will not need the value of to to solve any part of this problem. If it is bothering you, feel free to set to 1 everywhere. Express your answer to 3 significant figures.

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Expert Answer

Step 1

Write the velocity as the rate of change of displacement and integrate both the sides.

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17 t sin to v(t) to dx 17 t sin to dt to 17 t dt sin t cOs 17 t)- to 1 x()17 cos ..(1)

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Step 2

Use the initial condition(that is, x=2 m at t=0) to determ...

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x(0)17cos c 0 2 17(1)+c c 15

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