Suppose that you loft the ball with an initial speed of v = 16.1 m/s, at an angle of θ = 51.8° above the horizontal. At this instant your opponent is d = 10.7 m away from the ball. He begins moving away from you 0.300 s later, hoping to reach the ball and hit it back at the moment that it is h = 2.02 m above its launch point. With what minimum average speed must he move? (Ignore the fact that he can stretch, so that his racket can reach the ball before he does.)

Suppose that you loft the ball with an initial speed of v = 16.1 m/s, at an angle of θ = 51.8° above the horizontal. At this instant your opponent is d = 10.7 m away from the ball. He begins moving away from you 0.300 s later, hoping to reach the ball and hit it back at the moment that it is h = 2.02 m above its launch point. With what minimum average speed must he move? (Ignore the fact that he can stretch, so that his racket can reach the ball before he does.)

Name: Suppose that you loft the ball with an initial speed of v = 16.1 m/s,
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: Suppose that you loft the ball with an initial speed of v = 16.1 m/s, at an angle of θ = 51.8° above the horizontal. At this instant your opponent is d = 10.7 m away from the ball. He begins moving away from you 0.300 s later, hoping to reach the bal

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

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 7OQ: A student at the top of a building of height h throws one ball upward with a speed of vi and then...

See similar textbooks

Similar questions

You are hiking in the rocky canyon lands of Utah and eventually realize you are lost. You climb up to stand on one of the tall rocks and shoot a flaming arrow into the air to signal your distress. You shoot the arrow with an initial speed of 30.0 m/s at an angle of 60.0° above the horizontal. The arrow hits the ground 7.50 seconds later. (Neglect air resistance.) (a) What maximum height does the arrow reach above its launch point? (b) Relative to the launch point, where does the projectile land? Give your answer in Cartesian (x,y) coordinates as well as polar (r,0) coordinates.
A ball is thrown vertically upward with an initial speed of 88 ft/sec from the base A of a cliff with H = 60 ft. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the magnitude of the impact velocity vg. Neglect air resistance and the small horizontal motion of the ball. Answers: h = i ft t = i sec VB = i ft/sec
A projectile is launched off of a 19.6 m high building with an initial velocity of 26.4 m/s at an angle of 33.2 degrees relative to the horizontal. What is the speed of the projectile when it reaches it maximum height?
During a fireworks display, a shell is shot into the air with an initial speed of 91.55 m/s at an angle of theta degrees above the horizontal. The fuse is timed to 8.21 seconds for the shell just as it reaches its highest point above the ground. If the horizontal displacement of the shell is 149.68 meters when it explodes, what is the height (in unit of meters) when the shell explodes? You must use g = 9.8 m/s2.
You throw a ball from the ground level at an angle of 0 = 40.0° above the horizontal. The ball lands on top of a cliff that has a height of h=10.0 m. When you release the ball, it is traveling at a speed of 25.0 m/s. How long does it take for the ball to land on top of the cliff?
A stunt driver wants to make his car jump over eight cars parked side by side below a horizontal ramp. With what minimum speed must he drive off the ramp? The vertical height of the ramp is 1.5m above the cars, and the horizontal distance he must clear is 20m.
At t = 0 a particle at the origin has a velocity of 15.1 m/s at 36° above the horizontal x axis. At t = 5.00 s it is at x = 21.0 m and y = 35.0 m and its velocity is 30.0 m/s at 53° above the horizontal. Find: (a) its average velocity; (b) its average acceleration
A man stands on the roof of a 15.0 m tall building and throws a rock with a speed of 30.0 m/s at an angle of 35° above the horizontal. Ignore air resistance. Calculate (a) the maximum height above the roof that the rock reaches. (b) the speed of the rock just before it strikes the ground; and (c) the horizontal range from the base of the building to the point where the rock strikes the ground.
You are to throw a ball with a speed of 14.2 m/s at a target that is height h = 3.60 m above the level at which you release the ball (see the figure). You want the ball's velocity to be horizontal at the instant it reaches the target. (a) At what angle 0 above the horizontal must you throw the ball? (b) What is the horizontal distance from the release point to the target? (c) What is the speed of the ball just as it reaches the target? Target- (a) Number i Units (b) Number Units (c) Number i Units > >
A ball is thrown vertically upward with an initial speed of 68 ft/sec from the base A of a cliff with H = 36 ft. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the magnitude of the impact velocity vg. Neglect air resistance and the small horizontal motion of the ball. H Answers: h = i ft t = sec Vg = ft/sec
A regulation volleyball court measures L = 18.0 meters in length and d = 2.43 meters in height. A volleyball player hits the ball from a height of h = 1.50 m just over the backline, and the initial velocity of the ball creates an angle of q = 30° with the ground. At what initial speed must the ball be struck such that it barely clears the net?
A bullet is fired with a certain velocity at an angle θ above the horizontal at a location where g = 10.0 m/s2. The initial x and ycomponents of its velocity are 86.6 m/s and 50.0 m/s respectively. How long does it take before the bullet gets to the highest point of its trajectory?