Concept explainers
An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in Figure P3.50, but that the ball’s speed after the bounce is one-half of what it was before the bounce. (a) Assume the ball is always thrown with the same initial speed and ignore air resistance. At what angle θ should the fielder throw the ball to make it go the same distance D with one bounce (blue path) as a ball thrown upward at 45.0° with no bounce (green path)? (b) Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Principles of Physics: A Calculus-Based Text
- A marble is launched from the edge of a table at a angle of 45 ° up from horizontal and goes through the air until it hits the floor. True or False? For such a marble, |vx| (the magnitude of the x-component of the velocity) is decreasing the entire time the marble is airborne.arrow_forwardParticle A moves along the line y = 30 m with a constant velocity vector v of magnitude 3.0 m/s and parallel to the x axis. At the instant particle A passes the y axis , particle B leaves the origin with a zero initial speed and a constant acceleration vector a of magnitude 0.40 m/s2 . What angle theta between vector a and the positive direction of the y axis would result in a collision?arrow_forwardIn the figure, particle A moves along the line y = 31 m with a constant velocity of magnitude 2.7 m/s and parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with zero initial speed and constant acceleration of magnitude 0.48 m/s2. What angle ? between and the positive direction of the y axis would result in a collision?arrow_forward
- Consider a projectile launched form ground level at an angle of elevation with an initial velocity . The maximum horizontal range is given by xmax=(v 2/0 sin2θ)/g, where g is the acceleration due to gravity. Here is the problem: If a soccer ball is kicked from ground level with an initial velocity of 28 m/sec, what is the smallest positive angle at which the player should kick the ball to reach a teammate 48m down the field? Assume that the ball reaches the teammate at ground level on the fly. Round to the nearest tenth of a degree.arrow_forwardIn a volleyball game held in school, Player A at position X serves the ball from a height of 1.3m from the ground, imparting it with an initial velocity at an angle of 50 degrees from the horizontal, He aimed the all to land at point O, 0.5m short to Player B, thus making an ace, Incidentally the Player B is an expert in mind reading. The instant the server hits the ball, Player B started running from rest with a constant acceleration a. Check whether the ball willclear the 2.42m high net.(answer in meters)b. At what horizontal distance in meters from position Y will Player B intercept the ball, given that he intercepts it at a height of 1.6m?c. What is the acceleration in m/s^2 of Player Barrow_forwardA 2.00-m-tall basketball player is standing on the floor 10.0 m from the basket, as in Figure P3. 58. If he shoots the ball at a 40.0° angle with the horizontal, at what initial speed must he throw the basketball so that it goes through the hoop without striking the backboard? The height of the basket is 3.05 m.arrow_forward
- A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial velocity of vi=5.00im/s. Find (a) the vector position of the particle at any time t, (b) the velocity of the particle at any time t, (c) the coordinates of the particle at t = 2.00 s, and (d) the speed of the particle at t = 2.00 s.arrow_forwardAs an apple tree is transported by a truck moving to the right with a constant velocity, one of its apples shakes loose and falls toward the bed of the truck. Of the curves shown in Figure CQ3.13, (i) which best describes the path followed by the apple as seen by a stationary observer on the ground, who observes the truck moving from his left to his right? (ii) Which best describes the path as seen by an observer sitting in the truck? Figure CQ3.13arrow_forwardA person standing at the top of a hemispherical rock of radius R kicks a ball (initially at rest on the top of the rock) to give it horizontal velocity vi as shown in Figure P3.56. (a) What must be its minimum initial speed if the ball is never to hit the rock after it is kicked? (b) With this initial speed, how far from the base of the rock does the ball hit the ground?arrow_forward
- A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle i above the horizontal as shown in Figure P3.16. If the initial speed of the stream is vi, at what height h does the water strike the building? Figure P3.16arrow_forwardProve that the trajectory of a projectile is parabolic, having the form y=ax+bx2. To obtain this expression, solve the equation x=v0xt for t and substitute it into the expression for y=v0yt(1/2)gt2 (These equations describe the x and y positions of a projectile that starts at the origin.) You should obtain an equation of the form y=ax+bx2 where a and b are constants.arrow_forwardA fireman d = 50.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of i = 30.0 above the horizontal as shown in Figure P3.18. If the speed of the stream as it leaves the hose is vi = 40.0 m/s, at what height will the stream of water strike the building? Figure P3.18arrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning