An astronaut is being tested in a centrifuge. The centrifuge has a radius of 11.0 m and, in starting, rotates according to θ = 0.300t2, where t is in seconds and θ is in radians. When t = 2.30 s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration? (a) Number Units (b) Number Units (c) Number Units (d) Number Units
![A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. The player's foot is in contact with the ball for 1.30×10−3 s, and the force of the kick is given by F(t) = [(6.68×105)t − (5.14×108)t2] N for 0 ≤ t ≤ 1.30×10−3 s, where t is in seconds. Find the magnitudes of the following: (a) the impulse on the ball due to the kick, (b) the average force on the ball from the player's foot during the period of contact, (c) the maximum force on the ball from the player's foot during the period of contact, and (d) the ball's speed immediately after it loses contact with the player's foot. (a) Number Units (b) Number Units (c) Number Units (d) Number Units (d) Number Units](https://www.doubtrix.com/uploads/editor/9236055826UBUkTxvDIR.jpg)