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A two inch diameter craft ball is thrown vertically. This initial velocity of the ball is 20 ft/s.
a. Neglecting drag, draw a free body diagram and formulate a first order ODE that governs the velocity of the ball. Is the ODE linear or non-linear?
b. Use Euler's first order method to determine the "drag free" time required to achieve maximum elevation. Check your solution with the analytic solution to the ODE that governs the motion of the ball.
c. Drag force is known to be proportional to the velocity squared. Draw a free body diagram and formulate a first order ODE that governs the actual velocity of the ball. Is the ODE linear or non-linear?
d. To determine the drag coefficient effect, an experiment has been conducted that showed the terminal velocity of the ball (during a free fall) to be 20 ft/s. Use Euler's method to estimate the "actual" time to achieve maximum elevation for the case that the ball is thrown up with the given initial velocity (20 ft/s).
Write a MATLAB function newtonRaphson(fx, x0, sigfig, maxIT) that will return a root of the function f(x) near x=x0 using the Newton-Raphson method, where sigfig is the accuracy of the solution in terms of significant figures
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Write a program that, given a list of 20 integers, finds the largest integer in the list recursively
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1. dydt te3t - 2y 0 le t le 1 y0 0approximate the solution to the above initial value problem usinga modified-euler
A good way to structure this program is to read in each "number" as a string of characters, look at the first character to determine what kind of number it is (hex, binary, decimal), and then call an appropriate function to convert the string into..
Z-Transform in MATLAB, Sketch the z-plane pole-zero plot and determine the stability status for the following digital system. Determine the h(n) in MatLab.
Use MATLAB cross function to obtain the above cross products. Note that the accelerations are known functions of the derivatives of the three coordinates.
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the power input p to a centrifugal pump is assumed to be a function of the volume flow rate q impeller diameter d
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