A child throws a stone downward from the top of a cliff with a speed of 4m/s. You notice that it took 2 seconds for the stone to hit the ground. What is the height of the cliff? (Start with a function for the acceleration using g ≈ 9.8m/s2 .

While standing at the edge of the roof of a building, a man throws a stone upward with an initial speed of 7.00 m/s. The stone subsequently falls to the ground, which is 14 m below the point where the stone leaves his hand. At what speed does the stone impact the ground? Ignore air resistance and use g = 9.81 m/s for the acceleration due to gravity. (See the diagram below.) Vyi = = 7.00 m/s- Stone. 14.0 m Vyf a. 15 m/s b. 12 m/s c. 21 m/s d. 24 m/s e. 18 m/s

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A ski jumper starts from rest 54.1 m abovethe ground on a frictionless track and fliesoff the track at an angle of 43.8◦above thehorizontal and at a height of 10.8 m above thelevel ground. Neglect air resistance.The acceleration of gravity is 9.8 m/s2.What is his speed when he leaves the track?Answer in units of m/s.  b) What is the maximum altitude he attainsafter leaving the track?Answer in units of m. c) Where does he land relative to the end of thetrack?Answer in units of m.

A ball is released from rest from the top of the empire state building. Use g=9.8 m/sec^2 and ignore air resistance. What is the speed of the ball 1 second after it is released? 3 seconds?

Julie, mass 36kg, has invented a new ride called the Human Launcher. It is basically a platform that springs people straight up into the air. She is testing it, standing on a bathroom scale on the platform. As the platform springs 10.0m upward from rest, Julie notices the scale reads 600.0N. Once it reaches ground level, the platform suddenly stops, but Julie doesn't, and is launched up into the air. What is the maximum height above the ground that Julie will reach? (the ride was deemed unsafe and cancelled) *= nut 10.0m ground

A brave cliff diver jumps off the cliff of Tropea, Calabria (Italy), from a height if 16.35 m, from rest. What is the speed with which the diver hits the surface of the water?

A rock is thrown straight up into the air with an initial speed of 85 m/s at time  t = 0.  Ignore air resistance in this problem. At what times does it move with a speed of 13 m/s? Note: There are two answers to this problem.

An object is thrown straight upward with an initial velocity of 20.0 m/s j. Upon reaching the ground below, its velocity is -30.8 m/s j. From what distance above ground level was the object thrown?

A space shuttle lands on a distant planet where the gravitational acceleration is 2.0 ( We do not know thelocal units of length and time , but they are consistent throughout the problem). The shuttle coasts along aleve, frictionless plane with a speed of 6.0. It then coasts up a frictionless ramp of height 5.0 and angle 0f 30°.After a brief ballistic flight, it lands a distance S from the ramp. Solve for S in local units of length. Assume theshuttle is small compared to the local length unit and that all atmospheric effects are negligible. Use x and y  components.