
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Find the range, in meters, for the projectile with a speed of 6.5 m/s and an elevation angle of θ = 33.2°
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- The drawing shows an exaggerated view of a rifle that has been 'sighted in' for a 91.4-meter target. If the muzzle speed of the bullet is Vo = 309 m/s, there are the two possible angles 0₁ and 02 between the rifle barrel and the horizontal such that the bullet will hit the target. One of these angles is so large that it is never used in target shooting. Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identity may be useful: 2 sine cose = sin 20.) (a) Number (b) Number Units Units 91.4 m Oarrow_forwardGiven a velocity, V= 5m/s at 120°. What are the x and y components?arrow_forwardConsider a projectile being launched with an initial speed of 43 m/s at a variety of initial angles. Refer to the figure. What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 79.7°? What is the range, in meters, of the projectile if it is launched at an angle of θ2 = 40.5°? What is the range, in meters, of the projectile if it is launched at an angle of θ3 = 90 − 79.7°, the complement of θ1?arrow_forward
- 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.arrow_forwardAn object is launched with an initial velocity of 24.5 m/s at an angle of 37.2 degrees relative to the +x direction. If it is initially at ground level, at what distance away does it return to the ground?arrow_forwardGiven vectors, F=20.0 m at 60° and G=10.0 m at 30°, find F + G.arrow_forward
- You can use any coordinate system you like in order to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle 0 with respect to the horizontal. Let the building be 54.0 m tall, the initial horizontal velocity be 9.10 m/s, and the initial vertical velocity be 10.5 m/s. Choose your coordinates such that the positive y-axis is upward, and the x-axis is to the right, and the origin is at the point where the ball is released. (a) With these choices, find the ball's maximum height above the ground and the time it takes to reach the maximum height. maximum height above ground time to reach maximum height (b) Repeat your calculations choosing the origin at the base of the building. maximum height above ground time to reach maximum heightarrow_forwardThe position r of a particle moving in an xy plane is given by ř seconds. In unit-vector notation, calculate (a) 7, (b) V , and (c) a for t = 3.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 3.00 s? Give your answer in the range of (-180°; 180°). (4.00r3 – 1.00t)î + (5.00 – 1.00r4)j with 7 in meters and t in (a) Number i i Units (b) Number ît i Units i (c) Number i i Units (d) Number i Unitsarrow_forward
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