Starting from rest, a Ferris wheel of diameter 30.0 m undergoes an angular acceleration of 0.0400 rad/s2. A certain rider is at the lowest point of the wheel just as it starts to move. A) Find the velocity of the rider just as he completes a quarter of a turn.
B) Find the radial and tangential components of his acceleration at the same point.
C) How much farther must the wheel turn before the rider attains a speed of 6.00 m/s (the maximum that occurs during the ride)?
a. 5.32 m/s, up.
b. 0.600 m/s2, up.
1.88 m/s2 toward center.
d. 24.6°.

Abasketball star covers 2.65 m horizontally in a jump to dunk the ball. his motion through space can be modeled precisely as that of a particle at his center of mass. his center of mass is at elevation 1.02 m when he leaves the floor. it reaches a maximum height of 1.90 m above the floor and is at elevation 0.910 m when he touches down again. (a) determine his time of flight (his "hang time"). (b) determine his horizontal velocity at the instant of takeoff. (c) determine his vertical velocity at the instant of takeoff. (d) determine his takeoff angle. (e) for comparison, determine the hang time of a whitetail deer making a jump with center-of-mass elevations yi = 1.20 m, ymax = 2.45 m, and yf = 0.750 m.