You want to toss an object to a friend who is riding a ferriswheel. The following parametric equations give the path of thefriend R1(t) and path of object R2(t).Distance is measured in meters and time is measured in seconds.
r1(t)=15(sin((Pi*t)/10))i + (16-15(cos((Pi*t)/10))j
R2 (t)= (22-8.03(t-t0))i +(1+11.47(t-t0)- 4.9(t-t0)^2)j
question:
a. identify where your friend is at t=0.
b. where are you standing in relation to the bottom, center of the ferris wheel?
what does t0 represent in r2(t)?
c. find the speed and angle of inclination (in degrees) at which the object is thrown.
find the value of t0 in order for your friend to catch the ball, round t0 to the nearest tenth. explain exactly what you should do for your friend to catch the ball.
d. find the approximate time your friend should be able to catch the object. approximate the speed of your friend and the object at that time.
You want to toss an object to a friend who is riding a ferriswheel. The following parametric equations give the path of thefriend R1(t) and path of object R2(t).Distance is measured in meters and time is measured in seconds.
r1(t)=15(sin((Pi*t)/10))i + (16-15(cos((Pi*t)/10))j
R2 (t)= (22-8.03(t-t0))i +(1+11.47(t-t0)- 4.9(t-t0)^2)j
question:
a. identify where your friend is at t=0.
b. where are you standing in relation to the bottom, center of the ferris wheel?
what does t0 represent in r2(t)?
c. find the speed and angle of inclination (in degrees) at which the object is thrown.
find the value of t0 in order for your friend to catch the ball, round t0 to the nearest tenth. explain exactly what you should do for your friend to catch the ball.
d. find the approximate time your friend should be able to catch the object. approximate the speed of your friend and the object at that time.
