A basketball player is standing on the floor 12.0 m from the basket. The height of the basket is 3.05 m, and he shoots the ball at a 53.0° angle above horizontal from a height of 1.80 m. a) What is the acceleration of the basketball at the highest point in its trajectory? b) At what speed must the player shoot the basketball so that it goes through the hoop without touching the backboard?
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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?A tennis player hits the tennis ball at a distance of 10 m from the net. The ball is hitat a height of 1.2 m above ground so that it starts moving with a velocity of 30 m/s ina horizontal direction (parallel to the ground). The height of the net is 90 cm. What is the angle the tennis player has to hit the ball so it will just clear thenet?A father demonstrates projectile motion to his children by placing a pea on his fork's handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 7.39 m/s at an angle of 85.0° above the table. With what speed (in m/s) does the pea strike the ceiling 1.90 mabove the table?
- 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 father demonstrates projectile motion to his children by placing a pea on his fork's handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 7.67 m/s at an angle of 81.0°above the table. With what speed (in m/s) does the pea strike the ceiling 1.90 m above the table?An artilery sheill is fired with an Initial velocityY of 300 m/s at 45.0° above the horizontal. To clear an avalanche, it explodes on a mountalnside 41.5 s after firing. What are the x- and y-coordinates of the shetl where it xplotes, relative to its firing point? in tn Etn Arwer
- In a basketball game, two teammates are going to pass a ball to each otherstarting together from center half court. Assuming that we are looking at abasketball court in bird’s eye view, player A is moving “north” towards one endof the court going 9 m/s. Player B, who is now moving 76◦away to the rightpasses the ball to player A with the ball going 14 m/s. What are the magnitudeand direction of the ball’s velocity going towards player A?In a World Cup soccer match, Juan is running due north towardthe goal with a speed of 8.00 m/s relative to the ground. A teammatepasses the ball to him. The ball has a speed of 12.0 m/s and ismoving in a direction 37.0 east of north, relative to the ground. Whatare the magnitude and direction of the ball’s velocity relative to Juan?Vivian is practicing her shooting accuracy with her slingshot by trying to shoot rubber balls into a bucket onthe ground. For one particular shot for which the ball lands in the bucket, she fred her slingshot horizontallywith an initial speed of 56.0 m/s at a height of 170 cm above the ground.(a) How far away is Vivian standing from the bucket?(b) What are the magnitude and direction of the ball’s velocity when it lands in the bucket?
- You are really angry at your family, and in your frustration you decide you are going tothrow the pizza you bought for dinner onto the roof of your house. You are 6 metersfrom the house and the roof of the house is 3 meters above the ground. Assuming youtoss the pizza from ground level with an initial speed of 10 m/s at an angle of 60° (abovethe horizontal), how far onto the roof does the pizza land? Assume the roof is flat. Giveyour answer to 2 significant figuresA batter hits the baseball A with an initial velocity of vo-98 ft/sec directly toward fielder B at an angle of 36° to the horizontal; the initial position of the ball is 4.0 ft above ground level. Fielder Brequires 0.49 sec to judge where the ball should be caught and begins moving to that position with constant speed. Because of great experience, fielder B chooses his running speed so that he arrives at the "catch position" simultaneously with the baseball. The catch position is the field location at which the ball altitude is 8.3 ft. Determine the velocity of the ball relative to the fielder at the instant the catch is made. Answer: VA 242" i+ i) ft/secAn ice hockey player is moving at 8.00 m/s when he hitsthe puck toward the goal. The speed of the puck relative tothe player is 29.0 m/s. The line between the center of the goaland the player makes a 90.0º angle relative to his path. What angle must the puck’s velocitymake relative to the player (in his frame of reference) to hitthe center of the goal?