The coordinates of an object moving in the xy plane vary with time according to the equations x = -6.3 sin wt and yand t is in seconds4.00 - 6.3 cos wt, where w is a constant, x and y are in meters,(a) Determine the components of velocity of the object at t = 0. (Use the following as necessary: w.)m/s(b) Determine the components of the acceleration of the object at t0. (Use the following as necessary: w.)m/s2(c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (Use the following as necessary: omega for w and t.)m/sm/s2(d) Describe the path of the object in an xy plot

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Asked Sep 17, 2019
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this is not the actual problem it is just the practice one, I just need a step by step on how to solve it because my teacher did not really teach this in class. thank you for any help you are able to provide.

The coordinates of an object moving in the xy plane vary with time according to the equations x = -6.3 sin wt and y
and t is in seconds
4.00 - 6.3 cos wt, where w is a constant, x and y are in meters,
(a) Determine the components of velocity of the object at t = 0. (Use the following as necessary: w.)
m/s
(b) Determine the components of the acceleration of the object at t
0. (Use the following as necessary: w.)
m/s2
(c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (Use the following as necessary: omega for w and t.)
m/s
m/s2
(d) Describe the path of the object in an xy plot
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The coordinates of an object moving in the xy plane vary with time according to the equations x = -6.3 sin wt and y and t is in seconds 4.00 - 6.3 cos wt, where w is a constant, x and y are in meters, (a) Determine the components of velocity of the object at t = 0. (Use the following as necessary: w.) m/s (b) Determine the components of the acceleration of the object at t 0. (Use the following as necessary: w.) m/s2 (c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (Use the following as necessary: omega for w and t.) m/s m/s2 (d) Describe the path of the object in an xy plot

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Step 1

(a)

the componet for velocity is 

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dy dt dt

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Step 2

substitute the expression for x and y in the above equation to calculate the velocity vector

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(d(-6.3sin ot) (d(4.00-6.3 cos ar) i V dt dt (-6.3 cosat +(6.3a sin at)j

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Step 3

substitute t=0 in the expressi...

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v (-6.3cos ati+(6.3 sin wr) j =-6.3wi

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