Calculate the tennis ball's horizontal velocity, vf, in m/s, when it strikes the court.sin()cos()tan()89HOMEJT Problem 7: During service, a tennis ball is struck at height h = 1.95 m above a tennis court and moves with velocity vo = voi. Assumethe ball encounters no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position.Randomized Variablesh = 1.95 mVor = 23.5 m/s

In the given problem, the vertical component of the velocity will be governed by the acceleration…

Answered: Problem 7: During service, a tennis…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°. Assume that all angles are measured with respect to the positive x-axis. (a) Write the initial velocity vector and the acceleration vector in unit vector notation. (b) If the object maintains this acceleration for 12.0 seconds, determine the average velocity vector over the time interval. Express your answer in your unit vector notation.
A medieval city has the shape of a square and is protected by walls with length 500 m and height 15 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (with an initial speed of 80 m/s ). At what range of angles should you tell your men to set the catapult? (Assume the path of the rocks is perpendicular to the wall.)
(a) A soccer player kicks a rock horizontally off a 39 m high cliff into a pool of water. If the player hears the sound of the splash 3.02 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s. m/s (b) What If? If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 3.02 s after kicking the rock? m/s
A building has a square base of side 40.0 m and a height of 60.0 m. The base is aligned in the North-South direction (see figure). Starting from the ground at the Southwest corner, one mouse moves through the building ducts to the Northwest corner of the roof, while another mouse moves from the same origin to the center of the East side face (shaded in the drawing) Calculate: the red dot is the origin point. 1) The movement that the second mouse should make to get to where the first mouse is.
An experimentalist in a laboratory finds that a particle has a helical path. The position of this particle in the laboratory frme is given by r(t)= R cos(wt)i + R sin(wt)j + vztk R,vz, and w are constants. A moving frame has velocity (Vm)L= vzk relative to the laboratory frame. In vector form: A)What is the path of the partical in the moving frame? B)what is the velocity of the particle as a function of time relative to the moving frame? C)What is the acceleration of the particle in each frame? D)How should the accelerartion in each frame be realted?Does your answer to part c make sense?
A medieval city has the shape of a square and is protected by walls with length 500 m and height 15 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (with an initial speed of 80 m/s). At what range of angles should you tell your men to set the catapult? (Assume the path of the rocks is perpendicular to the wall. Round your answers to one decimal place. Use g = 9.8 m/s2. Enter your answer using interval notation. Enter your answer in terms of degrees without using a degree symbol.)
A space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 7.96 ✕ 107 km. Radio waves travel at the speed of light (3.00 ✕ 108 m/s). How many seconds does it take for the signal to reach the Earth?
An object is moving in a circle of radius 10 cm centered on the origin in the xy-plane at a constant speed of 5 m/s. (a) Express the motion of the object as a vector that depends on time, i.e. find F(t).
You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to prepare a report on the benefits of upgrading the elevators. One of the numbers that they have requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate more than 23.90⁢ m/s2 or travel faster than 19.3 m/s, what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor? minimum travel time: ?
An airline passenger drops a coin while the plane is moving horizontally at 260 m/s. Randomized Variables v = 260 m/sh = 1.6 m How far does the coin travel horizontally in meters with respect to the Earth if it falls 1.6 m?
The y-coordinate of a particle varies at a constant speed of 4.2 m/s. At t=0, the y-coordinate was found to be 2.7 m. Find an analytic expression for the function y(t).
The well-fed ants of the Fourth North Creek Ant Colony maintain and adhere to a straight trail along the ground between the nearby picnic table and the hole leading to their underground nest. In the colony's folklore, this trail has been known since ancient times as the x-axis. One member of the colony, returning to the nest after quenching its thirst with a serious portion of a tasty beverage dripping from the picnic table, is observed first at position x; = 9.63 m on the trail. Then it is seen staggering back and forth along the trail, eventually stopping for a nap at position xf = 8.17 m exactly 87.7 s later. Find the ant's average velocity during this time interval.

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