A skydiver’s vertical velocity is governed by m(dv/dt) = mg - K(v^2) where, m is the mass of the skydiver, g is gravitational acceleration, and K is the skydiver’s coefficient of drag. (i) If the skydiver leaves his/ her aero plane at time t = 0 with zero vertical velocity, find the vertical velocity equation, v. (ii) Compute the time that the skydiver reaches quarter of his/her final velocity. (iii) Solve the equation of v(t) assuming that you are the skydiver, g = 9.8m/(s^2), and K = 110kg/s. Then, make a plot of the vertical velocity equation, v as a function of time, t for 0 ≤ t ≤ 3.

A skydiver’s vertical velocity is governed by m(dv/dt) = mg - K(v^2) where, m is the mass of the skydiver, g is gravitational acceleration, and K is the skydiver’s coefficient of drag. (i) If the skydiver leaves his/ her aero plane at time t = 0 with zero vertical velocity, find the vertical velocity equation, v. (ii) Compute the time that the skydiver reaches quarter of his/her final velocity. (iii) Solve the equation of v(t) assuming that you are the skydiver, g = 9.8m/(s^2), and K = 110kg/s. Then, make a plot of the vertical velocity equation, v as a function of time, t for 0 ≤ t ≤ 3.

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Description: A skydiver’s vertical velocity is governed by m(dv/dt) = mg - K(v^2) where, m is the mass of the skydiver, g is gravitational acceleration, and K is the skydiver’s coefficient of drag.(i) If the skydiver leaves his/ her aero plane at time t = 0 with

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

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A skydiver’s vertical velocity is governed by m(dv/dt) = mg - K(v^2) where, m is the mass of the skydiver, g is gravitational acceleration, and K is the skydiver’s coefficient of drag.

(i) If the skydiver leaves his/ her aero plane at time t = 0 with zero vertical velocity, find the vertical velocity equation, v.

(ii) Compute the time that the skydiver reaches quarter of his/her final velocity.

(iii) Solve the equation of v(t) assuming that you are the skydiver, g = 9.8m/(s^2), and K = 110kg/s. Then, make a plot of the vertical velocity equation, v as a function of time, t for 0 ≤ t ≤ 3.

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