Show that the girl at A can throw the ball to theboy at B by launching it at equal angles measured up ordown from a 45° inclination. If va = 10 m/s, determinethe range R if this value is 15°, i.e., 01 = 45° – 15° = 30°and 02 = 45° + 15° = 60°. Assume the ball is caught at the%3Dsame elevation from which it is thrown.VA = 10 m/sAВ-R-

Answered: Show that the girl at A can throw the…

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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In the figure here, a ball is thrown up onto a roof, landing 4.90 s later at height h = 23.0 m above the release level. The ball's path just before landing is angled at e = 53.0° with the roof. (a) Find the horizontal distance d it travels. (Hint: One way is to reverse the motion, as if it is on a video.) What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's initial velocity? (a) Number Unit (b) Number i Unit (c) Number Unit >
Questions 1 through 3 pertain to the situation described below: An archer wants to launch an arrow from a bow to clear a treetop that is 35.0 m vertically above, and 97.0 m horizontally away from, the launching location. Assume that the launching speed is 57.0 m/s and the launching angle is 0 above the horizontal. (1) How much does the arrow clear the treetop if 0 = 30.0°? (A) 3.6 m; (B) 3.1 m; (C) 2.6 m; (D) 2.1 m; (E) 1.6 m. (2) What is the maximum horizontal range of the arrow if 0 can vary? (A) 212 m; (B) 242 m; (C) 272 m; (D) 302 m; (E) 332 m. (3) What is the range of 0 for the arrow to clear the treetop? (A) 29.9-86.0°; (B) 28.9–81.0°; (C) 27.9–76.0°; (D) 26.9–71.0°; (E) 25.9–66.0°.
A golf ball is hit upward, with an initial velocity of 47 meters per second, at an angle of 25° with respect to the horizontal. The ball is hit from a height of 8 meters above the ground. The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is hit are given by the parametric equations below. x=(v0cosθ)t y=−4.9t^2+(v0sinθ)t+h Here v0 is the initial velocity, θ is the initial angle with respect to the horizontal, and h is the initial height. Use the equations to answer the following questions. (a)How long is the ball in the air before it first touches the ground?Do not round any intermediate computations. Round your answer to the nearest hundredth. _____ seconds (b)What is the horizontal distance the ball travels before it first touches the ground?Round your answer to the nearest whole number. _____ meters
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