A stone dropped into a well takes 1.5 seconds to reach the water. Ignoring the effects of air resistance, the distance the the stone fell through is (use g = 9.8 m/s^2)

A human expedition lands on an alien moon. One of the explorers is able to jump a maximum distance of 14.0 m with an initial speed of 2.80 m/s. Find the gravitational acceleration on the surface of the alien moon. Assume the planet has a negligible atmosphere. (Enter the magnitude in m/s2.)

A ball of mass 1.6 kg and a diameter of 41.1 cm is attached to a string of length 1.1 m. It moves in a circular path at constant speed, 4.5 m above the ground. The string makes a constant angle of 42° with respect to vertical. m (a) What is the speed of the ball? (b) What is the tension in the string?

A mortar-style firework is launched from a vertical tube with a speed of 70.0 m/s. What is the highest height (in m) it reaches?

If you are traveling at 1000 fpm what climb angle would provide a vertical speed of 500 fpm? 30 45 60

In a naval battle, a cruiser is attempting to fire on a frigate. The cruiser is a distance d₁ = 2,050 m to the east of the peak of a mountain on an island, as shown in the figure below. The frigate is attempting to evade cannon shells fired from the cruiser by hiding on the west side of the island. The initial speed of the shells that the cruiser fires is v₁ = 245 m/s. The peak of the mountain is h = 1,690 m above sea level, and the western shore of the island is a horizontal distance d₂ = 270 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the frigate will be safe from fire from the cruiser? (Note the figure is not to scale. You may assume that the height and width of the frigate are small compared to d₁ and h.) less than Need Help? Read It 0₁ Ja₂ m, or more than d₁ m

A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If the table is horizontal, its velocity as a function of time is given by ✓ = 1.10î - 9.80tĵ, with v in m/s and t in s. The ball's displacement from the edge of the table from t = 0 to t = 0.395 s (while it is in flight), is given by Ar = Jo Ar = 0.395 Use this theorem to perform the integration: v dt. [ [ P + Qf(x)] dx = p[ dx + Q f f(x) dx. P[ Consider the units and unit vectors to be the constants P and Q. Integrate to determine the ball's displacement (in m) from the table edge at 0.395 s. (Express your answer in vector form. Do not include units in your answer.) m

A skydiver jumps out of a helicopter and falls freely for 2.15 before opening the parachute. How far below the helicopter is the skydiver when the parachute opens, Use g = 9.8 m/s ^ 2 . Calculate answer to one decimal.

A car is traveling horizontally at the moment it drives off the top of a 7.19 m tall cliff. The car travels 21.5 m horizontally before striking the ground. Assuming no air-resistance can be ignored, how fast was the car traveling at the moment it left the top of the cliff?

A diver springs upward from a board that is 4.30 m above the water. At the instant she contacts the water her speed is 12.3 m/s and her body makes an angle of 80.5° with respect to the horizontal surface of the water. Determine her initial velocity, both (a) magnitude and (b) direction. (a) Number (b) Number Units Units No units S m m/s m/s^2 4