MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 11, Problem 26P
The velocity of a skydiver whose parachute is still closed can be modeled by assuming that the air resistance is proportional to the velocity.
From Newton’s second law of motion the relationship between the mass m of the skydiver and his velocity v is given by (down is positive):
where c is a drag constant and g is the gravitational constant (g = 9.81 m/s2).
(a) Solve the equation for v in terms of m, g, c, and i, assuming that the initial velocity of the skydiver is zero.
(h) It is observed that 4 s after a 90-k skydiver jumps out of an airplane, his velocity is 28 in/s. Determine the constant c.
(c) Make a plot of the skydiver velocity as a
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Chapter 11 Solutions
MATLAB: An Introduction with Applications
Ch. 11 - Prob. 1PCh. 11 - Define y as a symbolic variable and create the two...Ch. 11 - Define x and y as symbolic variables and create...Ch. 11 - Define x as a symbolic variable. (a) Derive the...Ch. 11 - Use the commands from Section 11.2 to show that:...Ch. 11 - Use the commands from Section 11.2 to show that:...Ch. 11 - In rectangular coordinates the equation of the...Ch. 11 - Prob. 8PCh. 11 - The relation between the tension T and the steady...Ch. 11 - Consider the two ellipses in the x y plane given...
Ch. 11 - A 120 in.-long beam AB is attached to the wall...Ch. 11 - A box of mass m is being pulled by a rope as...Ch. 11 - The mechanical power output P in a contracting...Ch. 11 - The equation of a circle with its center is at x=3...Ch. 11 - A tracking radar antenna is locked on an airplane...Ch. 11 - Prob. 16PCh. 11 - Evaluate the following indefinite integrals: (a)...Ch. 11 - Define x as a symbolic variable and create the...Ch. 11 - The one-dimensional diffusion equation is given...Ch. 11 - A ceramic tile has the design shown in the figure....Ch. 11 - Prob. 21PCh. 11 - 22. Consider the parabolic sector shown in the...Ch. 11 - Prob. 23PCh. 11 - The spread of an infection from a single...Ch. 11 - The Maxwell-Boltzmann probability density function...Ch. 11 - The velocity of a skydiver whose parachute is...Ch. 11 - 27. A resistor R (R = 0.4?) and an inductor L (L =...Ch. 11 - Determine the general solution of the differential...Ch. 11 - Determine the solution of the following...Ch. 11 - 30. The current, i, in a series RLC circuit when...Ch. 11 - Damped free vibrations can be modeled by a block...
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