.You get the opportunity to play basketball with LeBron James. Your team is down by 2 points with time running out. LeBron feeds you the ball and you take a shot with 0.82 seconds remaining. It goes in, with nothing but net, as the buzzer sounds! The ball leaves your hand at an angle of 30" from the horizontal. Was this a three-point shot? The maximum three-point distance in the NBA is 7.24 meters. Please include a labeled diagram showing all relevant information with your chosen +x and +y direction. Make reasonable estimates if needed.

.You get the opportunity to play basketball with LeBron James. Your team is down by 2 points with time running out. LeBron feeds you the ball and you take a shot with 0.82 seconds remaining. It goes in, with nothing but net, as the buzzer sounds! The ball leaves your hand at an angle of 30" from the horizontal. Was this a three-point shot? The maximum three-point distance in the NBA is 7.24 meters. Please include a labeled diagram showing all relevant information with your chosen +x and +y direction. Make reasonable estimates if needed.

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: Motion In Two Dimensions

Section: Chapter Questions

Problem 15P: A home run is hit in such a way that the baseball just clears a wall 21.0 m high, located 130 m from...

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Similar questions

7. You launch a projectile at an initial speed of 41.2 m/s from the ground. After 5.40 seconds of flight, the projectile lands on the ground. At what angle above the horizontal was the projectile launched? 30.0 degrees 40.0 degrees 60.0 degrees 28.6 degrees
Serving at a speed of 170 km/h, a tennis player hits the ball at a height of 2.5 m and an angle below the horizontal. The service line is 11.9 m from the net, which is 0.91 m high. What is the angle such that the ball just crosses the net? Will the ball land in the service box, whose out line is 6.40 m from the net?
A home run is hit in such a way that the baseball just clears a wall 21.0 m high, located 130 m from home plate. The ball is hit at an angle of 35.0 to the horizontal, and air resistance is negligible. Find (a) the initial speed of the ball, (b) the time it takes the ball to reach the wall, and (c) the velocity components and the speed of the ball when it reaches the wall. (Assume the ball is hit at a height of 1.00 m above the ground.)
Determine which of the following moving objects obey the equations of projectile motion developed in this topic. (a) A ball is thrown in an arbitrary direction. (b) A jet airplane crosses the sky with its engines thrusting the plane forward. (c) A rocket leaves the launch pad. (d) A rocket moves through the sky after its engines have failed. (e) A stone is thrown under water.
A baseball is thrown from the outfield toward the catcher. When the ball reaches its highest point, which statement is true? (a) Its velocity and its acceleration are both zero, (b) Its velocity is not zero, but its acceleration is zero, (c) Its velocity is perpendicular to its acceleration, (d) Its acceleration depends on the angle at which the ball was thrown, (c) None of statements (a) through (d) is true.
A catapult launches a rocket at an angle of 53.0 above the horizontal with an initial speed of 100 m/s. The rocket engine immediately starts a burn, and for 3.00 s the rocket moves along its initial line of motion with an acceleration of 30.0 m/s2. Then its engine fails, and the rocket proceeds to move in free fall. Find (a) the maximum altitude reached by the rocket, (b) its total time of flight, and (c) its horizontal range.
In which of the following situations is the moving object appropriately modeled as a projectile? Choose all correct answers. (a) A shoe is tossed in an arbitrary direction. (b) A jet airplane crosses the sky with its engines thrusting the plane forward. (c) A rocket leaves the launch pad. (d) A rocket moves through the sky. at much less than the speed of sound, alter its fuel has been used up. (e) A diver throws a stone under water.
A sailor drops a wrench front the top of a sailboats vertical mast while the boat is moving rapidly and steadily straight forward. Where will the wrench hit the deck? (a) ahead of the base of the mast (b) at the base of the mast (c) behind the base of the mast (d) on the windward side of the base of the mast (e) None of the choices (a) through (d) is true.
The free throw line in basketball is 4.57 m (15 ft) from the basket, which is 3.05 m (10 ft) above the floor. A player standing on the free throw line throws the ball with an initial speed of 7.15 m/s, releasing it at a height of 2.44 m (8 ft) above the floor. At what angle above the horizontal must the ball be thrown to exactly hit the basket? Note that most players will use a large initial angle rather than a flat shot because it allows for a larger margin of error. Explicitly show how you follow the steps involved in solving projectile motion problems.
A baseball is thrown from the outfield toward the catcher. When the ball reaches its highest point, which statement is true? (a) Its velocity and its acceleration are both zero, (b) Its velocity is not zero, but its acceleration is zero, (c) Its velocity is perpendicular to its acceleration, (d) Its acceleration depends on the angle at which the ball was thrown, (c) None of statements (a) through (d) is true.
A playground is on the flat roof of a city school, 6.00 m above the street below (Fig. P4.25). The vertical wall of the building is h =7.00 in high, forming a 1-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of = 53.0 above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. (b) Find the vertical distance by which the ball clears the wall. (c) Find the horizontal distance from the wall to the point on the roof where the ball lands.
For a fixed initial speed, the range of a projectile is determined by the angle at which it is fired. For all but the maximum, there are two angles that give the same range. Considering factors that might affect the ability of an archer to hit a target, such as wind, explain why the smaller angle (closer to the horizontal) is preferable. When would it be necessary for the archer to use the larger angle? Why does the punter in a football game use the higher trajectory?