The drive propeller of a ship starts from rest and accelerates at 2.01 x 10-3 rad/s2 for 2.40 x 103 s. For the next 1.20 x 103 s the propeller rotates at a constant angular speed. Then it decelerates at 2.28 x 10-3 rad/s2 until it slows (without reversing direction) to an angular speed of 2.25 rad/s. Find the total angular displacement of the propeller.

If a rock is thrown upward on the planet mars with a velocity of 12 m/s, its height (in meters) after t seconds is given by h = 12t − 1.86t2. (a) find the velocity of the rock after two seconds. m/s (b) find the velocity of the rock when t = a. 12−3.72a m/s (c) when will the rock hit the surface? (round your answer to one decimal place.) t = s (d) with what velocity will the rock hit the surface? m/s