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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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 person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of Vo = 22.0 m/s. The rock leaves his hand at a height of h = 46.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. = i (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) хо Yo = Voy Vy y = 4o (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox m/s m/s 11 m m (c) Write the equations for the x- and y-components of the velocity of the rock with time. (Use the following as necessary: t. Assume that vx and v, are in m/s and t is in seconds. Do not include units in your answers.) oral m/s m/s Simuna wir + Accumo that y andy are in meters and it is in seconds. Do not
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
A baseball is thrown at an angle θ = 22° above the horizontal with an initial vertical velocity v0y = 13.5 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position. Calculate the initial horizontal velocity component, v0x in m/s.
A certain airplane has a speed of 303.3 km/h and is diving at an angle of 0= 26.0° below the horizontal when the pilot releases a radar decoy (see the figure). The horizontal distance between the release point and the point where the decoy strikes the ground is d = 676 m. (a) How long is the decoy in the air? (b) How high was the release point? (a) Number i 8.9 Units S (b) Number i -716.6 Units m
A ball is launched at a 68 degree angle to the horizon with a velocity of 15 m/s.
To start an avalanche on a mountain, an artillery shell is fired from 1250 m from the base of the mountain at 300 m/s, 55.0°. What are its coordinates 9.0 seconds later? Where does it hit on the mountain? If you are unable to answer, draw a diagram showing why.
In the figure here, a ball is thrown up onto a roof, landing 3.20 s later at height h = 23.0 m above the release level. The ball's path just before landing is angled at 0= 63.0" 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? D000 DODO (a) Number Unit (b) Number Unit (c) Number Unit
In the figure, a ball is thrown leftward from the left edge of the roof, at height h above the ground. The ball hits the ground 1.50 s later, at distance d = 26.0 m from the building and at angle e = 62.0° with the horizontal. (a) Find h. (Hint: One way is to reverse the motion, as if on videotape.) What are the (b) magnitude and (c) angle relative to the horizontal of the velocity at which the ball is thrown (positive angle for above horizontal, negative for below)? (a) Number Units (b) Number Units (c) Number Units
A grasshopper leaps into the air from the edge of a vertical cliff, as shown in Figure. It is given that the angle 0=52° and the distances d=0.11 m, and x=2.04 m. 不 d h : Ꮎ Not to scale X (a) Find the initial speed (in m/s) of the grasshopper. (b) Find the height h (in m) of the cliff.
A helicopter is flying horizontally with a speed of 67.3 m/s over a hill that slopes upward with a 5% grade (that is, the "rise" is 5% of the "run"). The helicopter's velocity is horizontal with a magnitude of 67.3 m/s and can be resolved into components parallel and perpendicular to the hill. Calculate the magnitude of the perpendicular component.
Acertain airplane has a speed of 297.6 km/h and is diving at an angle of 0 = 33.0° below the horizontal when the pilot releases a radar decoy (see the figure). The horizontal distance between the release point and the point where the decoy strikes the ground is d = 651 m. (a) How long is the decoy in the air? (b) How high was the release point?

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