A falling body experiences both the gravitational acceleration g and air resistance that is proportional toits velocity. Thus a typical equation of motion is * = -10 – 2v m/s². Suppose that the body is droppedfrom the origin.and taking reciprocals, find t as a function of v, and hence find v as a function of t.dtdva By writing i =Then find x as a function of t.b Describe the motion of the particle.

Answered: Image /qna-images/answer/171a5084-be3a-49f5-a453-2e10128306dd.jpg

Answered: A falling body experiences both 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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The acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/s
The instantaneous speed of a particle moving along one straight line isv(t) = ate−5t, where the speed v is measured in meters per second, the time t is measured in seconds, and the magnitude of the constant a is measured in meters per second squared. What is its maximum speed, expressed as a multiple of a? (Do not include units in your answer.)
A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v = 23.0 m/s. The rock leaves his hand at a height of h = 43.0 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. 4 7 i (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) Xo = Yo = m (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s m/s Voy
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 ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 46 ft/s. Its height in feet after t seconds is given by y = 46t – 21t2. A. Find the average velocity for the time period beginning when t=2 and lasting .01 s: .005 s: .002 s: .001 s: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. Estimate the instanteneous velocity when t=2.
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A particles position along the X axis is described by the function x(t)= A t + B t^2, where t is in seconds, x is in meters, and the constants A and B are given. Randomized variables A=-4.2 m/s B=7.9 m/s^2 Enter an expression, in terms of A, B, and t, for the velocity of the particle as a function of time. At what time, in seconds, is the particles velocity zero?

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