You want to toss an object to a friend who is riding a Ferris wheel (see figure). The following parametric equations give the path of the friend r₁(t) and the path of the object r₂(t). Distance is measured in meters, and time is measured in seconds.

(a) Locate your friend’s position on the Ferris wheel at timet = 0.(b) Determine the number of revolutions per minute of the Ferris wheel.(c) What are the speed and angle of inclination (in degrees) at which the object is thrown at time t = t₀?(d) Use a graphing utility to graph the vector-valued functions using a value of t₀ that allows your friend to be within reach of the object. (Do this by trial and error.) Explain the significance of t₀.(e) Find the approximate time your friend should be able to catch the object. Approximate the speeds of your friend and the object at that time.

Transcribed Image Text:

r,(1) = 15(sin 716) i 10 = + (16 - i + r₂(t) [228.03(t-1)] + DO 15 cos πl 10 [1 + 11.47(tto) - 4.9(t - to)²]j IN