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The Problem

The Problem. t. and. and. = + h. =. - or -. =. -- or --. = +. T for total t for time. The Problem. t. and. and. = + h. =. - or -. =. -- or --. = +. T for total t for time. The Problem.

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The Problem

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  1. The Problem t and and = + h = - or - = -- or -- = + T for total t for time

  2. The Problem t and and = + h = - or - = -- or -- = + T for total t for time

  3. The Problem A stone is thrown at an angle of 30.0oabove the horizontal from the top edge of a cliff with an initial speed of 30 m/s. The height of the cliff is 20 meters. (A) How high from the valley floor does the stone go? (B) How far away from the bottom of the cliff (valley floor)does the stone land? (C) What is the total time of the stone in the air?

  4. Find Velocity Components E S S h Vy = 30 sin30 Vx 2 Vy = 15 Find Time up and “h” E S S B A C G U Find Times Find Total Height = + h E S S E S S = + 11.3 20 m = = Find E S S TOTAL time = 4 s

  5. The Problem A stone is thrown at an angle of 40.0o above the horizontal from the top edge of a cliff with an initial speed of 14 m/s. A stopwatch measures the stone’s total trajectory time from the top of the cliff to the bottom at 6.4 s. (A) What is the height of the cliff? (B) How far away from the bottom of the cliff does the stone land? (C) What is the magnitude of the stone’s resulting displacement?

  6. Find Velocity Components E S S h Vy = 14 sin40 Vx 1 Vy = 9.00 Find Times = E S S B A C = 6.4s G U = 5.5 s Find Distances = - h E S S = – 4.05 = = E S S

  7. The Problem WHICH STONE LANDS FARTHEST from the base of a 20 meter high cliff? Scenerio A: A stone thrown at an angle of 45oabove the horizontal with an initial speed of 30 m/s. Scenerio B: A stone thrown at an angle of 30o above the horizontal with an initial speed of 50 m/s. Show all work using the “Guess Method”

  8. Find Velocity Components for A Find “” for A h E S S Vy = 30 sin45 Vx 21.2 Vy = 21.2 Find “” for A Find “h” for A Find “” for A E S S = + h Scenerio A Scenerio B G U = + 22.5 = Find Velocity Components for B Find “” for B 20 m 20 m E S S Vy = 50 sin30 COMPARE Vx 43.3 Vy = 2 = = Find “” for B 107m Find “h” for B Find “” for B E S S = + h = 31.3 = Winner: B

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