A ping-pong ball is caught in a vertical plexigiass column in which the air flow alternates sinusoidally with a period of 60 seconds. The air flow starts with a maximum upward flow at the rate of 6.4m/s and at t = 30 seconds the flow has a minimum (upward) flow of rate of -6.8m/s. (To make this clear: a flow of -5m/s upward is the same as a flow downward of 5m/s. 9.8m/s? and forces due to air resistance which are equal The ping-pong ball is subjected to the forces of gravity (-mg) where g = to k times the apparent velocity of the ball through the air. What is the average velocity of the air flow? You can average the velocity over one period or over a very long time - the answer should come out about the same -- right? . (Include units.) Write a formula for the velocity of the air flow as a function of time. A(t) = Write the differential equation satisfied by the velocity of the ping-pong ball (relative to the fixed frame of the plexiglass tube.) The formulas should not have units entered, but use units to trouble shoot your answers. Your answer can include the parameters m - the mass of the ball and k the coefficient of air resistance, as well as time t and the velocity of the ball v. (Use just v, not v(t) the latter
A ping-pong ball is caught in a vertical plexigiass column in which the air flow alternates sinusoidally with a period of 60 seconds. The air flow starts with a maximum upward flow at the rate of 6.4m/s and at t = 30 seconds the flow has a minimum (upward) flow of rate of -6.8m/s. (To make this clear: a flow of -5m/s upward is the same as a flow downward of 5m/s. 9.8m/s? and forces due to air resistance which are equal The ping-pong ball is subjected to the forces of gravity (-mg) where g = to k times the apparent velocity of the ball through the air. What is the average velocity of the air flow? You can average the velocity over one period or over a very long time - the answer should come out about the same -- right? . (Include units.) Write a formula for the velocity of the air flow as a function of time. A(t) = Write the differential equation satisfied by the velocity of the ping-pong ball (relative to the fixed frame of the plexiglass tube.) The formulas should not have units entered, but use units to trouble shoot your answers. Your answer can include the parameters m - the mass of the ball and k the coefficient of air resistance, as well as time t and the velocity of the ball v. (Use just v, not v(t) the latter
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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