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Write an equation for the height of the point P above the ground as a function of t, time in
seconds.
h(t) =
Hint: Start by thinking: What is the height of the point P above the center? How is the center
changing?
Solution
height of center at ant time = R + 7(sinA)t = 2 + 7(100/700)t = (2 + t) cm
now height of P wrt center = Rcos(x/2) where x = 7t
height of P = 2+ t + Rcos(7t/2)
= 2 + t + 2cos(7t/2)
7t/2 is value in radian. oon putting t in second
for t= 0,(starting point)
height = 2 + 2cos0 = 4 cm
at the end, at = 100 cm,
h = 2 + 100 + 2cos(350) = 101.433 cm

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