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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

  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.
  2. Plot the "Skydiver Velocity vs. Time" data on the following graph. Being able to plot data is important.

This video shows the fall of a skydiver. YouTube

https://youtu.be/JOBT1rJjbWs and answer the questions

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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. 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). a.) 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. \f8. 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. a) 35m/s 40 b) 180 190m/s C) 1.2m/s 7407. 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. 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. 88. Determine the slope of the graph (show all work and include units) at the different portions of flight a. Determine an approximate slope in the t = 3 - 9 second range (show all work). b. Determine an approximate slope in thet = 12 - 16 second range (show all work). c. Determine an approximate slope in thet = 19 - 24 second range (show all work). d. What do you think the slope represents? Try to explain how this makes sense in the ranges above. No \"wrong answers\" answer here as long as some thought is shown. a) Which is the independent variable? b) Which is the dependent variable? c) Title and units for the xaxis = (make sure included on graph d) Title and units for the yaxis = (make sure included on graph) e) Overall title of graph 2 (make sure included on graph) f) Draw a \"best-fit line\" to represent your data. 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

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