A basketball player is standing on the floor 14.5 m away from the basket. The height of the basket is 3.00 m, and he shoots the ball at 46.0 with the horizontal from a height of 1.94 m. At what speed must the player shoot the ball so that it goes through the hoop without striking the backboard?
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- A basketball player is standing on the floor 10.0 m from the basket as shown below. The height of the basket is 3.05 m, and he shoots the ball at a 40.0⁰ angle with the horizontal from a height of 2.00 m. At what speed must the player throw the basketball so that the ball goes through the hoop without striking the backboard?A basketball player is standing on the floor 14.0 m away from the basket. The height of the basket is 3.05 m, and heshoots the ball at 49.0° with the horizontal from a height of 2.00 m. At what speed must the player shoot the ball so thatit goes through the hoop without striking the backboard?A basketball player who is 2.00 m tall is standing on the floor 10.0 m from the basket as in figure. If he shoots the ball at a 40.0° angle with the horizontal at what initial speed must he throw so that it goes through the hoop without striking the backboard? the basket height is 3.05 m.
- 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 VIn 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 15 ft/sec. If the shooting guard is to catch the ball at a height of 6.0 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 5.2' 35' 15 ft/sec B ft/sec O 14' C 6.0' VIn a live fire exercise, an Army artillery team fires an artillery shell from a howitzer (a relatively small cannon). The barrel makes an angle of 54.0 ° above the horizontal, and the velocity of the projectile as it exits the barrel is 370 m / s. The projectile hits a target on a mountainside 39.0 s after being fired. Assuming that the point where the projectile exits the barrel is the origin, and assuming as usual that the x-axis is horizontal and the y-axis is vertical, find the x and y coordinates, in meters, of the target.
- During a tennis match, a player serves the ball at 28.3 m/s, with the center of the ball leaving the racquet horizontally 2.57 m above the court surface. The net is 12.0 m away and 0.900 m high. When the ball reaches the net, (a) what is the distance between the center of the ball and the top of the net? (b) Suppose that, instead, the ball is served as before but now it leaves the racquet at 5.00° below the horizontal. When the ball reaches the net, what now is the distance between the center of the ball and the top of the net? Enter a positive number if the ball clears the net. If the ball does not clear the net, your answer should be a negative number. Use g=9.81 m/s². (a) Number (b) Number Units UnitsA plane is travelling horizontally at 1500 km/h. A rocket is fired horizontally ahead from the plane at an angle of 6.0o from the direction of the plane and with a velocity of 2000 km/h. What is the resultant velocity of the rocket?A group of collegiate golfers invent a game where they have to hit a golf ball up to the roof of a building that is about 23.76 m tall. The hole is 3.3 m away from the edge of the roof (label this in the figure). The roof is perfectly level all the way across. a) Isabella strikes the ball causing it to launch from the ground with an initial velocity of 22.70 m/s and at an angle of θ = 72.00 . Is it possible for Isabella to make her shot to the roof? Ignore wind resistance for part (a). b) Assuming that Isabella’s shot from part (a) made it to the roof and the shot is line up to go into the hole that is 3.30 m away from the edge of the roof. The golf ball has a mass of 45.93 g, and experiences a friction force of f=0.133 N. If the ball’s speed is larger than 5.90 m/s when at the hole it will be moving too fast and not go in. Will Isabella’s shot go into the hole? Explain why she does make or does not make it in the hole.
- Our pinoy pride, Kai Sotto, is now training for his upcoming 3x3 basketball tournament next year. Under International Basketball Federation (FIBA) rules, the three-point line is 6.75 meters from the center of the basket. If he will train for three-point shooting, what should be the ball's angle when he shoots the ball if he will try to shoot from a height as high as the basket with an initial velocity of 8.2 m/s? Is it 40°; 50°; 60°? How long would it take for the ball to reach the ring for each of the angles? What is the ball's maximum height for each of the angles? And how fast is the ball's horizontal and vertical initial velocities for each or the angles?A boy is standing from the top of a cliff 8 m from the ground and he has a bow which is aimed 40 degrees from the horizontal. He can release the bow with an initial velocity of 15 m/s. An animal is below the cliff and is moving towards the boy at a velocity of 5 m/s. For the bow to hit the animal, at what distance D should the animal be when the bow is fired?An archer wishes to shoot an arrow at a target at eye level a distance of 41.5 m away. If the initial speed imparted to the arrow is 73.2 m/s, what angle should the arrow make with the horizontal as it is being shot?