The parameteric equations for the paths of two projectiles are given below. At what rate is the distance between the two objects changing at t = pi/2?
x1=12cos(2t) y1 = 6sin(2t)
x2=6cos(t) y2 = 7sin(t)
The Attempt at a Solution
I am completely stuck. So I was thinking that I should use the distance formula
sqrt( (6cos(t) - 12cos(2t))2 + ( 7sin(t) - 6sin(2t))2))
then take the derivative of that then plug in pi/2 but that got really ugly and I think I am overcomplicating it.
I am looking for a hint here that is all. completely stuck
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