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33 The position vector of a particle mov...

33 The position vector of a particle moving in x-y plane is given by r (t 4) i (t 4) j. Find (a) Equation of trajectory of the particle Albo in a (b) Time when it crosses x-axis and y-axis

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To find the trajectory, `vecr =xhati+ yhatj=(t^2-4)hati+ (t-4)hatj`
So, `x=t^2 -4` and `y=t-4`
On solving, `x=(y+4)^2-4`
`y^2-8y-x+12=0`
Time when it crosses x-axis, `t-4=0` ...
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