Here is my problem: From the top of a cliff overlooking a lake, a person throws two stones, as shown in the drawing. The cliff is 15.4 m high. The two stones described have identical initial speeds of v0 = 18.0 m/s and are thrown at an angle θ = 26.7 °, one below the horizontal and one above the horizontal. What is the distance between the points where the stones strike the water? Neglect air resistance.  I think I have the correct steps.. but can't seem to get the right answer. I would like someone to walk me through how to solve this.

A basketball is thrown at 45° to the horizontal. The hoop is located 3.6 m away horizontally at a height of 1.2 m above the point of release. What is the required initial speed? m/s

You built a pinball machine that has a banked circular track with radius 0.34 m. The ball shooter launches the ball directly into this circular track before the ball enters into the game. You fire pin balls at a constant speed into the track and adjust the banking angle until it works. The banking angle is 21 degrees. Assume your pin ball machine is on a horizontal plane, how fast is the ball launched into the track, in m/s? Hint: I have a video on this problem about swing pendulum but the results are very similar, except a string length was given instead of path radius and tension was present instead of normal force. Assume friction is negligible.

In an article on the use of the sling as a weapon, the author states that a skilled slinger can sling a rock a distance of about 384 m. What is the minimum speed the rock must have when it leaves the sling to travel exactly 384 m? To solve this problem it will be necessary to first determine the required launch angle of the projectile. What launch angle must the projectile have in order to find the minimum speed required to achieve a given horizontal distance?

A ball is thrown vertically upward with an initial speed of 88 ft/sec from the base A of a cliff with H = 60 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 vg. Neglect air resistance and the small horizontal motion of the ball. Answers: h = i ft t = i sec VB = i ft/sec

In the figure, you throw a ball toward a wall at speed 37.0 m/s and at angle 8 = 43.0° above the horizontal. The wall is distance d - 18.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and (c) vertical components of its velocity as it hits the wall? Use g = 9.80 m/s². (a) Number (b) Number (c) Number Unit Unit Unit

A golfer hits a shot to a green that is elevated 2.60 m above the point where the ball is struck. The ball leaves the club at a speed of 19.9 m/s at an angle of 34.0° above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.

When throwing a ball, your hand releases it at a height of 1.5 m above the ground with velocity 6.8 m/s in direction 57° above the horizontal. (a) How high above the ground (not your hand) does the ball go?(b) At the highest point, how far is the ball horizontally from the point of release?

A grasshopper wants to jump over a thin vertical wall with the minimal possible jumping speed.The wall is h = 30 cm high and it is at distance d = 40 cm from the grasshopper. What should be the initial speed of the grasshopper? The gravitational acceleration is g = 9.8 m/s2 .Hint: The trajectory is not symmetrical to the wall. Express the starting speed v0 of the grasshopper in terms of the initial angle of elevation α, and then find the maximum of the v0(α) function

A golfer gives a ball a maximum initial speed of 51.8 m/s. What is the longest possible hole-in-one for this golfer? Neglect any distance the ball might roll on the green and assume that the tee and the green are at the same level. What is the minimum speed of the ball during this hole-in-one shot?