A ball is thrown vertically upward with an initial speed of 86 ft/sec from the base A of a cliff with H = 63 ft. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the magnitude of the impact velocity vp. Neglect air resistance and the small horizontal motion of the ball. Answers: h = ft t = sec VB = ft/sec

3. A toboggan and rider of total mass 90 kg travel down along the smooth slope defined by the equation y=0.08x². At the instant x - 10 m, the toboggan's speed is 5 m/s. At this point, determine the rate of increase in speed and the normal force which the slope exerts on the toboggan. Neglect the size of the toboggan and rider for the calculation. v=5m/s/ y=0.08.² 10 m

positive stationary splitter, 6-27E A 100-ft/s water jet is moving in the x-direction at 18 ft/s. The stream hits a such that half of the flow is diverted upward at 45° and the other half is directed downward, and both streams have a final speed of 18 ft/s. Disregarding gravitational effects, and approximating the flow as uniform at any cross section, determine the x- and z-components of the force required to hold the splitter in place against the water force. X 100 ft³/s- FIGURE P6-27E 45° 45° 18 ft/s Splitter

H.W-1 Determine the speed at which the basketball at A H must be thrown at the angle of 30° so that it makes it to the basket at B. 30 1.5 m 10 m 3 m