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The trajectory of an object can be modeled as y = (tan θ0)x - g x2 + y0, 2v02 cos2 θ0 where y is the achieved height in meters (m), θ0 is the initial angle (degrees), x is the horizontal distance (m), g is the gravitational acceleration (= 9.81 m/s2), v0 is the initial velocity (m/s), and y0 is the initial height. Write a well commented MATLAB script to find the trajectories for y0 = 0 and v0 = 28 m/s for initial angles ranging from 15 to 75 degrees in increments of 15 degrees. Employ a range of horizontal distances from x = 0 to 80 m in increments of 1 m. Your script must perform the following tasks: • Assemble the y results in an array called my table where the first dimension (rows) corresponds to the hor- izontal distances and the second dimension (columns) corresponds to the different initial angles. For instance, the values in first column of the table, that is my table(:,1), should represent the heights achieved by the object for various values of the horizontal distance x, given an initial launch angle of 15?, and so on. (Note that θ is in degrees and so use the appropriate MATLAB function to obtain the corresponding trigonometric values.) • Now use the above table to generate a single plot of the heights versus horizontal distances for each of the initial angles. Label the axes appropriately and use a legend to distinguish among the different cases. Scale the plot such that the minimum height is zero using the axis command. The following plot shows two such trajectories corresponding to launch angles of 45? and 60?, respectively.
Find the poles and zeros of H(s) and plot them in the s-plane. Find then the corresponding impulse response h(t). Determine if the impulse response of this system is absolutely integrable so that the system is BIBO stable.
The available circuit components are NMOS transistor, PMOS transistor, resistors, capacitors and inductors. Ideal sources can only be used to generate the supply voltage VDD & GND.
If one of the resistors in a parallel circuit were shorted, what would you expect to see happen and could a shorted component in a parallel circuit cause an open to occur elsewhere.
state the probability distribution of the binomial random variable X. What is the probability that the random variable X falls in the interval [u - 3 sigma, u + 3 sigma]. The mean and the variance of a binomial distributin.
A balanced three-phase source is supplying 90 kVA at 0.8 lagging to two balanced Y-connected parallel loads. The distribution line connecting the source to the load has negligible impedance. Load 1 is purely resistive and absorbs 60 kW.
Consider the circuit where the value of the inductor is 1H, the initial current in the inductor is iL(0)=-1A and the input source is Vs(t) = 2[u(t)-u(t-1)] and plot the corresponding current in the inductor iL(t) for all times.
A manufacturing plant has a 600V, 60Hz supply and the following loads: Lights: 24kW Electric furnace: 4.8 + j6.4 with a current of 150A Motor loads, 160kW at 0.8 Power Factor, lagging. What is the real power, reactive power, and aparent power
Design a combinational logic with 3 inputs x, y and z and three outputs A,B C. When the binary input is 0,1,2 or 3 the binary output is two greater than the input. When the binary input is 4,5,6,7 the binary output is 3 less than the input.
a number of students are answering a questionnaire form that has 55 questions. answer to each question is given as an
A generator is rated at 500 MVA (three phase) and 22 kV (line-to-line). Its Y-connected windings have a reactance of 1.1 per unit. Find the ohmic value of the reactance of the windings. What is the per unit value if we change the base to 200 MVA a..
when luminaires lighting fixtures are installed in clothes closets a distans of in. millimeters must be mauntained
discharge a capacitor of 1mF charged with a voltage of 1 volt we connect it, at time t = 0, with a esistor of R ohm. When we measure the voltage we find it to be V(r) (t) = e ^(-t) u(t). Determine the resistance of R. If the capacitor has a capaci..
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