Messi scored a 30 meters free-kick against Liverpool. Thanks to the new video camera technology, from a vertical view we were able to measure the angle of the shoot."35°" a) What was the initial velocity of the ball that hit the net at 1.8 meters high? b) How long did it take the fans to see the goal?
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Messi scored a 30 meters free-kick against Liverpool. Thanks to the new video camera technology, from a vertical view we were able to measure the angle of the shoot."35°"
- a) What was the initial velocity of the ball that hit the net at 1.8 meters high?
- b) How long did it take the fans to see the goal?
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- Please2. A group of students conducted a projectile experiment in which they fired a projectile at an unknown angle with varying speed. Students took the following data for projectile range and speed. Determine: a. What kind of graph comes out if initial velocity vs. range is plotted? R(m) Volm/s) 0.2 1.71 0.4 2.42 0.6 2.97 0.8 3.43 3.83 1.2 4.2 1.4 4.53 1.6 4.84 1.8 5.14 2 5.42 b. What is the linearization method for this graph? c. Make the linearized graph and determine its slope with its units. d. Determine the initial angle at which the projectile was launched.A rescue plane flies at 198km/hr and at a constant elevation of 500m toward a point directly over an accident victim struggling in the sea. The pilot must release a rescue capsule so that it hits the water very close to the victim.a). what should be the angle of the pilot’s line of sight when the capsule is released? EVb) what is the velocity of the rescue in the vertical plane when the capsule is released? APc). as the capsule reaches the water, what is its velocity ?̅in i. the unit vector notation? ANii. magnitude- angle notation
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- In the homecoming game, the field goal kicker attempts to make a 47 yard (43 m) field goal. He kicks with an initial velocity of 20 m/s at an angle of 60° The field goal posts are 3 m high. Does he make the field goal? Explain your answer. Edit View Insert Format Tools Table 12pt v Paragraph v |BIU1.An archer aims at a target. (a) Should she aim the arrow directly at the target? Why or why not? Draw a simple diagram to support your explanation. (b) How should her angle of aim change depending on the distance to the target? (c) Suppose the archer's arrow is 1.2m above the ground, the bull's eye is 43m away and at a height of 1.8m, and she can shoot the arrow at an initial speed of 28m/s. It is a calm day with no wind so we ignore air resistance. At what angle should she aim her arrow to hit the bull's eye? Not incomplete3. Consider a ball undergoing a 2D projectile motion, whose position (unit: m) as a function of time (unit: s) is 3(t) = tî + (V3t – 5t²)ĵ, where t stands for time. (a) Find the initial launch angle of the projection. (b) Find the speed of the ball when it lands on the ground.
- 82 Mt. Lafayette hike. Figure 3.19 shows a trail 5.8 km long, leading from a trailhead (elevation 1770 ft) to the summit of Mt. Lafayette (elevation 5250 ft) in New Hampshire. Sara hikes the trail. What are the (a) magnitude L and (b) elevation angle (relative to the horizontal) of Sara's displacement for the hike? (Measure the component in the plane of the map by laying the edge of a sheet of paper next to the line in the map, marking off the line's length d, and then using the scale on the map.) Eigure 3.19 Problem 82. 5250 Mt. Lafayette Old Franconia Notch Bridle Mt. Lincoln 5089 Path 2 3 km1.An archer aims at a target. (a) Should she aim the arrow directly at the target? Why or why not? Draw a simple diagram to support your explanation. (b) How should her angle of aim change depending on the distance to the target? (c) Suppose the archer’s arrow is 1.2m above the ground, the bull’s eye is 43m away and at a height of 1.8m, and she can shoot the arrow at an initial speed of 2.8m/s. It is a calm day with no wind so we ignore air resistance. At what angle should she aim her arrow to hit the bull’s eye?2. At an archery contest, a large circular target 5 ft in diameter is laid flat on the ground with the bull's- eye exactly 180 yd (540 ft) away from the archers. Marion draws her bow and shoots an arrow at an angle of 25° above horizontal with an initial velocity of 150 ft/sec (assume the archers are standing in a depression and the arrow is shot from ground level). a) What was the maximum height of the arrow? b) Does the arrow hit the target?