2. A baseball is thrown vertically up with speed vo and is subject to a quadratic drag with magnitude f(v) = cu2. Choose coordinates with +y upward and write down the equation of motion for the upward journey. Solve the equation of motion by separating variables and express v(t) as a function of time. Note: dx S: 1 tan -1 a a To determine the maximum height ymax, a trick can be used (b) dv dy dv v = dt dv dy dt dy dv in the equation of motion and use separation of variables. Inte- dy Replace by 99 grating both sides gives y in terms of v. Show that ter+ 2 ter n Ymax 11 2 Vter 2g Vmg/c is the terminal speed. Note: where vter xdx 1 In(a2+2) a2 2 2

2. A baseball is thrown vertically up with speed vo and is subject to a quadratic drag with magnitude f(v) = cu2. Choose coordinates with +y upward and write down the equation of motion for the upward journey. Solve the equation of motion by separating variables and express v(t) as a function of time. Note: dx S: 1 tan -1 a a To determine the maximum height ymax, a trick can be used (b) dv dy dv v = dt dv dy dt dy dv in the equation of motion and use separation of variables. Inte- dy Replace by 99 grating both sides gives y in terms of v. Show that ter+ 2 ter n Ymax 11 2 Vter 2g Vmg/c is the terminal speed. Note: where vter xdx 1 In(a2+2) a2 2 2

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 59PE: (a) In what direction would the ship in Exercise 3.57 have to travel in order to have a velocity...

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