In a basketball game, the point guard A intends to throw a p basket at a constant speed of 13 ft/sec. If the shooting guar stride to execute a layup, determine the speed vo and launch A VO Ө 5.9' 141 39' -- 13 ft/sec B 21'
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- A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h, (a) in what direction must the pilot head her plane to move directly north across land and (b) how long does it take her to reach a point 300 km directly north of her starting point?In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?Aaron Rodgers throws a football at 20.0 m/s to his wide receiver, who runs straight down the field at 9.4 m/s for 20.0 m. If Aaron throws the football when the wide receiver has reached 10.0 m, what angle does Aaron have to launch the ball so the receiver catches it at the 20.0 m mark?
- 1104. A projectile is fired with an initial velocity of 193.2 ft per sec upward at an angle of 30° to the horizontal from a point 257.6 ft above a level plain. What hori- ontal distance will it cover before it strikes the level plain? Ans. a 1340 ft 1106. Repeat Prob. 1104 if the projectile is fired downward at 30° to the hori- ontal.1104. A projectile is fired with an initial velocity of 193.2 ft per sec upward at an angle of 30° to the horizontal from a point 257.6 ft above a level plain. What hori- zontal distance will it cover before it strikes the level plain? Ans. r 1340 ft 1105. Repeat Prob. 1104 if the projectile is fired downward at 30° to the hori- zontsl.In a basketball game, the point guard A intends to throw a pass to the shooting guard B, who is breaking toward the basket at a constant speed of 10 ft/sec. If the shooting guard is to catch the ball at a height of 6.6 ft at C while in full stride to execute a layup, determine the speed vo and launch angle with which the point guard should throw the ball. A Answers: Vo = VO 0 = 0 i i 5.5' 43' 10 ft/sec B ft/sec O 25' 6.6'
- Calvin is standing on the roof of a 6.50 m tall house. His tiger Hobbes is on the ground, some distance away from the house. Calvin is throwing water balloons at Hobbes: Calvin is throwing the water balloons with speed VO at an angle of 0 below the horizontal. On his first try, Calvin hits Hobbes with the water balloon! Hobbes is 3.02 m horizontally from the base of the building and it takes 1.04 s for the balloon to hit him. Coordinate system: positive x points to the right and positive y points up.A baseball batter hits a long fly ball, giving it an initial velocity 45.0° above the horizontal. The ball risesto a maximum height of 14.8 m. An outfielder on the opposing team starts running at 7.60 m/s the instantthe ball is hit. Calculate the farthest the fielder can be from where the ball will land so that it is possiblefor him to catch the ball, i.e. distance between fielder’s original position and lading of the ballA baseball batter hits a long fly ball, giving it an initial velocity 45.0° above the horizontal. The ball risesto a maximum height of 14.8 m. An outfielder on the opposing team starts running at 7.60 m/s the instantthe ball is hit. Calculate the farthest the fielder can be from where the ball will land so that it is possiblefor him to catch the ball, i.e. distance between fielder’s original position and lading of the ball. [HINT: Assume that the outfielder catches the ball at the same height at which it was hit, and that hebegins running at the same time that it was hit.]
- A parent at a Little League game returns a foul ball by throwing it back onto the field. When the parent throws the ball back, she is standing and ends up releasing the ball from a point that is 2.50m above the ground. Your best guess is that she threw the ball upward at an angle of 60o with respect to the ground and it landed 13m away from her. What was the height of the ball's apex (as measured from the ground)?In a basketball game, the point guard A intends to throw a pass to the shooting guard B, who is breaking toward the basket at a constant speed of 12 ft/sec. If the shooting guard is to catch the ball at a height of 6.9 ft at C while in full stride to execute a layup, determine the speed vo and launch angle with which the point guard should throw the ball. A Answers: Vo = VO 0 0 = 6.0' 44.34 i 38.31 38¹ 12 ft/sec B ft/sec O 20' 6.9¹ VThe basketball player likes to release his foul shots at an angle = 50 to the horizontal as shown in the figire 4. what initial speed Vo will cause the ball to pass through the center of the rim?