3) A soccer ball has just been kicked off the edge of the Grand Canyon which has a height of 2,400 meters above the Colorado River at its base. Ignoring air resistance, what is the
velocity of the ball halfway down (1200 meters above the river)? And, what is the
velocity of the ball when it hits the water (when h=0 meters)?

The space between two 15-in.-long concentric cylinders is filled with glycerin (viscosity = 8.5 × 10-3 lb·s/ft2). the inner cylinder has a radius of 1 in. and the gap width between cylinders is 0.1 in. determine (a) the torque and (b) the power required to rotate the inner cylinder at 180 rev/min. the outer cylinder is fixed. assume the velocity distribution in the gap to be linear.