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If V is the initial speed of the ball at angle of elevation a, if the origin of the coordinate system is chosen to coincide with the propulsion device, then the initial conditions (t = 0) may be assumed to be
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Use the Matlab ODE45 solver to obtain the numerical solution of the above differential equations, taking the data for V, a (convert to radians), m, d and c given on the data sheet, g = 9.81 ms-2, and p=1.255kg/m3. Plot the trajectory of the ball (y against x) and compare it with the corresponding trajectory when the drag is zero. Include a printout of the Matlab code you have used.
simple problems on partial derivatives
This is a pen and paper exercise, you are expected to provide a detailed derivation. Follow the procedure outlined in the lectures for construction of a simple averaging by thr
Determine the missing entries in the following divided difference table and use the result to estimate f(1/2).
First systems were described as systems that had one method of storing energy. Second order systems; wait for it.... have two methods of storing energy. Using a similar mechanica
The integral has an exact answer, viz., sinc(pfT). As T®¥ the sinc function tends to zero. Divide the region from -T/2 to T/2 into N equal parts and sum the rectangles on b
a^n * n *u[n-1]
Find the quadratic that interpolates f(x) = 2x 3 - x + 1 at the nodes x 0 = 0, x 1 = 2, x 2 = 3, a) by solving a set of three equations for the coefficients of p 2 (x) = a 2
y"+3y''+2y=0
how to model equations to determine the amount of oil in a reservior
A manager has determined the cost C, in dollars, for manufacturing is C(q) =85log 10 (10+q/2) for manufacturing, where q is the number of units produced in a given day. (a
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