Write an equation for the height of the point P above the gr

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?

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