A ball with mass 0.05 kg is thrown upward with initial velocity 25 m/sfrom the roof of a building 60 m high. Assume there is a force due to|v|air resistance of magnitude directed opposite to the velocity, where30the velocity v is measured in m/s.NOTE: Use g=9.8 m/s² as the acceleration due to gravity.Round your answers to 2 decimal places.a) Find the maximum height above the ground that the ball reaches.Height:mb) Find the time that the ball hits the ground.Time:seconds

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Answered: A ball with mass 0.05 kg is thrown…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A ball is launched from ground level at 30 m/s at an angle of 35˚ above the horizontal. (a) Find the speed of the ball when it reaches the maximum height. (b) How far does it travel horizontally just before impacting with the ground? A.) (a) 0, (b) 98 m B.) (a) 0, (b) 86.3 m C.) (a) 24.6 m/s, (b) 86.3 m D.) (a) 17.5 m/s, (b) 90.8 m
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The bartender is totally amazing (must have studied physics). She slides your beer with an initial velocity of vo= 11.188 feet/second and the beer comes to a stop exactly in front of you after having slid a distance of d = 120.079 inches! Convert the sliding distance into proper units. d = meters meters/second Convert the initial velocity into proper units. Vo = Determine the acceleration of the beer as it slid down the counter (enter a negative number). a = Determine the time required for the beer to slide down the bar. t = seconds NOTE: The following may be helpful. . 1 foot 12 inches . 1 inch = 2.54 cm m/s²
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A shell of mass 4 kg is shot upward with an initial velocity of 200 m/sec. The magnitude of the force on the shell due to air resistance is 20 the ground? What is the maximum height? Assume the acceleration due to gravity to be 9.81 m/s². When will the shell reach its maximum height above the ground? The shell will reach maximum height after 18.16 seconds. (Round to two decimal places as needed.) What is the maximum height? The maximum height is 1747 m. (Round to the nearest whole number as needed.) 3 (...) When will the shell reach its maximum height above
1. A ball is thrown up in the air from a cliff with the initial speed of 10 meters per second and hits the ground 11 seconds later. How tall is the cliff? You may assume that the acceleration due to gravity is –10 meters per second squared.
A box of mass m=3.0kg slides down a smooth incline plane of 5.0m long with angle. Please find the speed when the box slides to the bottom of this incline. We assume the box starts to slide at rest.
A hydraulic jack has input piston with diameter 0.38 m and output piston with diameter 1.39 m. If the input force is 659 N, calculate the output force in kN. F = kN
Values of f(x, y) are shown in the table below. 1.2 x = 1x = 1.1 y = 3 8 9 y = 3.3 7 8 Y 3.6 6 7 Let R be the rectangle 1 ≤ x ≤ 1.2, 3 ≤ y ≤ 3.6. Find the values of Riemann sums which are reasonable over- and under-estimates for SR f(x, y) dA with Ax = 0.1 and Ay = 0.3. over-estimate: 1.11 under-estimate: 0.96 11 9 15

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