A graduate tosses his square academic cap upwards to the sky in delight, with an initial velocity of 3.8 m/s.
a. Find the maximum height of the cap.
b. How much time will pass before the cap returns to his hand if it is at the same
level that he released the cap at?
c. If the graduate's hand is 1.5 meters above the ground and he misses the cap
because he is clumsy. With what speed will the cap hit the ground?

Athin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity of v = 7.5 m/s. the two stationary surfaces are spaced 4 cm apart, and the medium between them is filled with oil whose viscosity is 0.9 n·s/m2. the part of the plate immersed in oil at any given time is 2 m long and 0.5 m wide. if the plate moves through the mid-plane between the surfaces, determine the force required to maintain this motion. what would your response be if the plate was 1 cm from the bottom surface (h2) and 3 cm from the top surface (h1)? if the plate moves through the mid-plane between the surfaces, the force required to maintain the motion will be n. if the plate was 1 cm from the bottom surface (h2) and 3 cm from the top (h1) surface, the force required to maintain the motion would be n.