Three identical balls are launched with the same initial speed from the top of a cliff overlooking flat ground. Ball A is launched horizontally. Ball B has an initial velocity directed 20 degrees below the horizontal. Ball C has an initial velocity directed 40 degrees above the horizontal. Which ball hits the ground with the highest speed? a. Ball A b. Ball B c. Ball C d. Equal for all three

A golfer hits his approach shot at an angle of 50.0, giving the ball an initial speed of 38.2 m/s (Fig. P4.60). The ball lands on the elevated green, 5.50 m above the initial position near the hole, and stops immediately. a. How much time passed while the ball was in the air? b. How far did the ball travel horizontally before landing? c. What was the peak height reached by the ball? FIGURE P4.60

A ball is thrown with an initial speed i at an angle i with the horizontal. The horizontal range of the ball is R. and the ball reaches a maximum height R/6. In terms of R and g, find (a) the time interval during which the ball is in motion, (b) the balls speed at the peak of its path, (c) the initial vertical component of its velocity, (d) its initial speed, and (e) the angle i, (f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height. (g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range.

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi = 18.0 m/s. The cliff is h = 50.0 m above a body of water as shown in Figure P4.13. (a) What are the coordinates of the initial position of the stone? (b) What are the components of the initial velocity of the stone? (c) What is the appropriate analysis model for the vertical motion of the stone? (d) What is the appropriate analysis model for the horizontal motion of the stone? (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (f) Write symbolic equations for the position of the stone as a function of time. (g) How long after being released does the stone strike the water below the cliff? (h) With what speed and angle of impact does the stone land? Figure P4.13