1) The position of a particle is tracked and its position vector 7 = (t+ 1) i+ (t + 2t)j where t is in seconds and components of the position vector are in meters. a) Find an expression for the y component of position as a function of x (y=f(x)=?) .Draw the track the particle is following from 0 to 2 seconds. b)Find the value of- at t=1 seconds (Note that r isn't the position vector. It is the distance of the particle to the origin)

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1) The position of a particle is tracked and its position vector 7 = (t+ 1) i+ (t? + 2t)j where tis in
seconds and components of the position vector are in meters.
a) Find an expression for the y component of position as a function of x (y=f(x)=?) .Draw the track the
particle is following from 0 to 2 seconds.
b)Find the value of at t=1 seconds (Note that r isn't the position vector. It is the distance of the
particle to the origin)
c) Find the radial and tangential components (directions shown by r and 0) of the particle's acceleration
at t=1 seconds?
Transcribed Image Text:1) The position of a particle is tracked and its position vector 7 = (t+ 1) i+ (t? + 2t)j where tis in seconds and components of the position vector are in meters. a) Find an expression for the y component of position as a function of x (y=f(x)=?) .Draw the track the particle is following from 0 to 2 seconds. b)Find the value of at t=1 seconds (Note that r isn't the position vector. It is the distance of the particle to the origin) c) Find the radial and tangential components (directions shown by r and 0) of the particle's acceleration at t=1 seconds?
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