Stephen Curry attempts a 3-point shot from 25 feet with 3 seconds remaining. He releases the ball at a height of 7 feet. It reaches a maximum height of 15 feet. The ring is 10 feet high. With what initial velocity and at what angle must he release the ball if it must sink into the ring? Full solution

Stephen Curry attempts a 3-point shot from 25 feet with 3 seconds remaining. He releases the ball at a height of 7 feet. It reaches a maximum height of 15 feet. The ring is 10 feet high. With what initial velocity and at what angle must he release the ball if it must sink into the ring? Full solution

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Description: Stephen Curry attempts a 3-point shot from 25 feet with 3 seconds remaining. He releases the ball at a height of 7 feet. It reaches a maximum height of 15 feet. The ring is 10 feet high. With what initial velocity and at what angle must he release th

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...

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A soccer goal is 2.44 m high. A player kicks the ball at a distance 10 m from the goal at an angle of 25°. The ball hits the crossbar at the top of the goal. What is the initial speed of the soccer ball?
Stephen Curry attempts a 3-point shot from 25 feet with 3 seconds remaining. He releases the ball at a height of 7 feet. It reaches a maximum height of 15 feet. The ring is 10 feet high. With what initial velocity and at what angle must he release the ball if it must sink into the ring?
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 garden hose is laying on the ground while the valve is opened. The nozzle of the hose is shooting the water upwards in an angle of 21°. The initial speed of the water spray is 20 m/s. There is a wall 8.0 m away. How high on the wall the water spray hits?
A person launches a rock with an initial speed of 250 m/s at an angle of 45 degrees above the horizontal. What is the speed of the rock when it reaches its maximum height? Give your answer to 2 significant figures.
3.64 A 2.7-kg ball is thrown upward with an initial speed of 20.0 m/sm/s from the edge of a 45.0 mm high cliff. At the instant the ball is thrown, a woman starts running away from the base of the cliff with a constant speed of 6.00 m/sm/s. The woman runs in a straight line on level ground, and air resistance acting on the ball can be ignored. 1. At what angle above the horizontal should the ball be thrown so that the runner will catch it just before it hits the ground?
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A log is floating on swiftly moving water. A stone is dropped from rest from a 60.4-m-high bridge and lands on the log as it passes under the bridge. If the log moves with a constant speed of 5.44 m/s, what is the horizontal distance between the log and the bridge when the stone is released?
During the medieval siege of a castle, the attacking army used a trebuchet to hurl heavy stones at the castle walls. If the trebuchet launches the stones with a velocity of +48.5 m/s at an angle of 42.0, how long does it take the stone to hit the ground? For those settings, what is the maximum range? How high will the stones go?
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Skeet Shooting is an Olympic sport for rifle marksmen. A skeet is a clay target. A lady marksman goes out to practice and sets her skeet launcher at a position 25 meters north and 40 meters west from where she intends to stand. When she yells “Pull!”, a skeet is launched due East at an angle of 37 degrees above the ground with an initial speed, vo. The marksman only fires due north. Two seconds after she yells “Pull!”, the bullet from her gun hits the clay skeet in the air. At what height did the clay skeet shatter? Neglect air friction effects. {Use sin(37o) = 3/5; cos(37o) = 4/5; and g = 10 m/s2 }