1. A baseball is popped straight up into the air and has a "hang-time" of 6.25 s. Determine the initial velocity of the ball.Show 7 steps.

6. A boat aims straight across a river with velocity 8.0 m/s to the east. If the river flows south at 6.0 m/s and is 120 m wide, how long will it take to cross? Show 7 steps. 8. An airplane aiming directly north at 120 m/s. Awind from the west is causing the plane to have a WE velocity component of 20.0 m/s relative to the air. What is the resultant velocity of the plane relative to the ground? Give the direction of the plane in 'degrees east of north.'As with any word problem - show the 7 steps. 9. A dandelion seed floats to the ground in a mild wind with a resultant velocity of 26.0 cm/s. If the horizontal component velocity due to the wind is 10.0 cm/s, what is the vertical component velocity? Show 7 steps. 10.Analyzing a common mistake. Question: The still water velocity of a rower is 5 m/s. At what angle must this rower point upstream to land directly across the river? The current is moving at 3 m/s. 7. Using the boat and river from the previous example, how far downstream, Dy, is the boat when it lands on the far bank? Show 7 steps. Relative Velocity in 2D 1. Use your own words to explain the difference between 1D. 2D, and 3D (dimensions). Provide examples of each. 2. Convert the following into vertical and horizontal components. Show all steps and include units. 24.An arrow is shot horizontally from the top of a tower at a speed of '15 m/s and hits the ground at a speed of 25 m/s. Calculate the height of the tower. Show all 7 steps. 25.Ajet aircraft is travelling at 850 km/hr at an altitude of 11 km when an engine falls off! a. b. Neglecting air resistance, determine the engine's speed when it hits the ground. Is this realistic? Discuss how assumptions made in the calculations might not reflect the reality of the engine's impact speed. What value might the impact speed actually be. and why? Determine the horizontal range of the engine (measured from where the jet was located when the engine fell off). (Answer: d = 11 km. To maintain velocity in the air, the force of drag must be counteracted. The detached and unpowered jet engine would gradually lose horizontal 12. Two rowers of identical ability want to race across the river above. The goal is to touch the other side first (anywhere along the bank). Both rowers can row at a rate of 5m/s in still water. The river's current is 3 m/s. RowerA points upstream so that she ends up travelling straight across the river along a line perpendicular to the point on the shore where she started. Rower B points directly across and ends up downstream due to the river's current. a. Which rower makes it across first? Why do you think this is so? b. If the river is 50 m wide, determine the time it takes for each rower to cross. c. Using rower B above solve for the following: Construct the equivalent displacement vector diagram and label all sides and angles with correct displacement values. Use the equation d = vt and solve for d in each direction (i.e displacement downstream and diagonally). 23. A stone is thrown horizontally at 15 m/s from the top of a cliff 44 m high. What is the velocity of the rock after 2 seconds? Show all 7 steps. =15 m/s h =44m Va.) The most common incorrect answer for this type of question is 31" (from a line perpendicular to the shore). Show a fully labelled vector diagram that illustrates how this answer was achieved. Circle the mistake and briefly discuss the incorrect assumption that led to this solution. b.)The actual answer is 36.9\". Show a fully labelled vector diagram that illustrates how this answer was achieved. bottom of the cave 4.2 seconds later. Find the Cliff's height. ignoring the time the sound takes to travel back to you from the bottom. Show all work as done in lessons. Show all 7 steps. 29. 0.30 s after seeing a puff of smoke rise from the starter's pistol, the sound of the firing of the pistol is heard by the track timer 100 m away. What is the velocity of sound? Hint: treat the speed of light as instantaneous. Show all 7 steps. 22A stone is thrown horizontally at 15 We from the top of a cliff 44 m high. How far from the base of the cliff does it hit the ground? Show all 7 steps. \"I =15 m/s Velocity Diagram: (solve for Displacement Diagram (determine sides and angles) angles) 50 m 5 m/s 3 m/s Dy = Va DR= Discuss the similarities and differences between these two vector diagrams:velocity, resulting in less distance travelled.) d. Reality Would the engine land at this point in reality? Why or why not? Under what conditions would your solution be valid? Where (roughly) would it actually land? 20A water bomber flying with a horizontal speed of 85 m/s at a height of 3000 m drops a load on a fire below. How far in front of the target fire should the load be released? Show all 7 steps. 27.A cliff diver wishes to clear some rocks extending 4.0 m from the base of a 20 m high cliff. What is the lowest horizontal velocity she could safely leap from the cliff? Show all 7 steps. 28.You are exploring a newly discovered cave in the Andes in South America. Peering over the cliff's edge in the cave, you can't see the bottom. Wondering if you have enough rope to rappel to the ground, you drop a rock off the top, and hear it hitting the a) 35m/s 40 b) 180 190m/s C) 1.2m/s 740