A particle in an experimental apparatus has a velocity given by v = k√s, where v is in millimeters per second, the positions is millimeters, and the constant k = 0.28 mm ¹1/25-1. If the particle has a velocity vo = 4 mm/s at t = 0, determine the particle position, velocity, and acceleration as functions of time. To check your work, evalutate the time t, the positions, and the acceleration a of t particle when the velocity reaches 22 mm/s. Answer: t = S= a = S mm _mm/s² Note: Use store values don't round.

A particle in an experimental apparatus has a velocity given by v = k√s, where v is in millimeters per second, the positions is millimeters, and the constant k = 0.28 mm ¹1/25-1. If the particle has a velocity vo = 4 mm/s at t = 0, determine the particle position, velocity, and acceleration as functions of time. To check your work, evalutate the time t, the positions, and the acceleration a of t particle when the velocity reaches 22 mm/s. Answer: t = S= a = S mm _mm/s² Note: Use store values don't round.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.22P: Let the initial position and speed of an overdamped, nondriven oscillator be x0 and v0,...

See similar textbooks

Similar questions

Generate a function f(t)=y depending on a single input parameter time (t), in which the result (y) will have a declining acceleration for the first 10 years.
When analyzing motions in 2D, what vectors should be described in terms of time (t), and x & y components?
The position of a moving particle in vortex is expressed as, x(t) = x0 sin(at3 + bt3/2) where x0is the position at t = 0, x (t) is the position at time t, and a and b are the constants. Using dimensional analysis find the units of the constants a and b?
If r and are both explicit functions of time, show that
At what height in (A) must the plastic ball be dropped such that its experimental acceleration is equal to the standard value of acceleration due gravity?
Assuming the initial velocity iszero and the acceleration is constantobtain the equation that allows thefinal instantaneous velocity v to becalculated from the distance d and thetime. *please answer using variables so I can plug in the actual experimental values
A particle of mass m has a time-dependent position vector r(t) = (Rcos(ωt),Rsin(ωt),αt) in Cartesian coordinates, where R, ω and α are positive constants. What are the physical dimensions of R, ω and α? Show that the speed of the particle is constant. Does it mean that the acceleration is zero? Justify.
The air resistance to the motion of a vehicle is something important that engineers investigate. As you may also know, the drag force acting on a car is determined experiementally by placing the car in a wind tunnel. For a given car, the experimental data is generally represented by a single coefficient that is called the drag coefficient. It is given by the relationship C(4)=F(d)/ 1/2 pV^2 (A) What is the appropiate unit for C, if the proceeding equation is to be homogeneous in units? show all steps of your work
The motion of the point K moving along the plane is given by the equation x = 3sin (t), y = 2cos (t). Find the equation of the track where the punk is moving.
From the acquired measurements in Table A,plot Q as a function of V.
A two-legged robot is programmed so that upon switching it on, it will do a repetitivepair of steps: one step towards east and then one step towards north, with each stepcorresponding to equal lengths. If after 1000 making pairs of steps, the robot can befound at 956.8 m , 45 degrees NE, what is the length of each step
Can you please provide a full explanation and complete solution to this problem? Please make sure to double check your work. THANKS!!