eded for a parachutist of mass m=68.1kg to have a velocity of 40m/s after free-falling for time t=10s. Note: The acceleration d
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Determine the drag coefficient c needed for a parachutist of mass m=68.1kg to have a velocity of 40m/s after free-falling for time t=10s. Note: The acceleration due to gravity is 9.8m/s2. Use the Regula Falsi method
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- For f(x) = x 3 −4, perform 3 iterations of Newton’s method with starting point x0 = 2. (By hand, but use a calculator.) Calculate the solution (x∗ = 41/3) on a calculator and find the errors and percentageerrors of x0, x1, x2 and x3. Use enough digits so that you do not falsely conclude the error is zero.Put the results in a table.Suppose that a parachutist with linear drag (m=50 kg, c=12.5kg/s) jumps from an airplane flying at an altitude of a kilometer with a horizontal velocity of 220 m/s relative to the ground. a) Write a system of four differential equations for x,y,vx=dx/dt and vy=dy/dt. b) If theinitial horizontal position is defined as x=0, use Euler’s methods with t=0.4 s to compute the jumper’s position over the first 40 s. c) Develop plots of y versus t and y versus x. Use the plot to graphically estimate when and where the jumper would hit the ground if the chute failed to open.Library tion formula is a=(v_(2)-v_(1))/(t), Solve for v_(1).
- Two trigonometric identities are given by: (sin x + cos x)2 = 1+ 2 sin x cos x 1- 2 cos x - 3cos2 x = 1- 3cos x sin2 x 1- cos x For each part, verify that the identity is correct by calculating the values of the left and right sides of the equation using MATLAT, substituting x=200 Find the solution to the systems + = ... .. . y + 3 y + 2 y y u Where y (0) =0; y’ (0) =0. u (t) is a square wave.13.sol Matlab The electrical circuit shown consists of resistors and voltage sources. Determine the current in each resistor, using the mesh current method that is based on Kirchhoff's second voltage law. V =38 V, V = 20V, V, = 24V R, =15Ω R, = 182 R, = 10Ω R, =9Ω R, = 5Ω R, = 14Ω R, = 82 R, = 132standard science experiment is to drop a ball and see how high it bounces. Once the “bounciness” of the ball has been determined, the ratio gives a bounciness index. For example, if a ball dropped from a height of 10 feet bounces 6 feet high, the index is 0.6, and the total distance traveled by the ball is 16 feet after one bounce. If the ball were to continue bouncing, the distance after two bounces would be 10 ft + 6 ft +6 ft + 3.6 ft = 25.6 ft. Note that the distance traveled for each successive bounce is the distance to the floor plus 0.6 of that distance as the ball comes back up. Write a program that lets the user enter the initial height from which the ball is dropped, the bounciness index, and the number of times the ball is allowed to continue bouncing. Output should be the total distance traveled by the ball.
- This is a Computer Graphics Question on Phong's Lighting Model. Question: A light source with intensity 50 and radius of influence 100 is located at (4,2,93) from which you are called to calculate the illumination of a point on the yz plane. For no shiny surface and negligible ambient light, find the point on the surface with the highest illumination and light intensity at that point. Given the diffuse coefficient is 0.7.Use any method to prove the following either true or false. xz + x′y′ + y′z′ = xz + y′A standard science experiment is to drop a ball and see how high it bounces. Once the “bounciness” of the ball has been determined, the ratio gives a bounciness index. For example, if a ball dropped from a height of 10 feet bounces 6 feet high, the index is 0.6, and the total distance traveled by the ball is 16 feet after one bounce. If the ball were to continue bouncing, the distance after two bounces would be 10 ft + 6 ft +6 ft + 3.6 ft = 25.6 ft. Note that the distance traveled for each successive bounce is the distance to the floor plus 0.6 of that distance as the ball comes back up. Write a program that lets the user enter the initial height from which the ball is dropped, the bounciness index, and the number of times the ball is allowed to continue bouncing. Output should be the total distance traveled by the ball. Below is an example of the program input and output: Enter the height from which the ball is dropped: 25 Enter the bounciness index of the ball: .5 Enter the number of…
- The upward velocity of a rocket is given as a function of time in Table.Determine the value of the velocity at t =16 seconds using quadratic interpolation method Verify the answer using the graphical method.Through bisection method develop a program in Matlab that will determine the drag coefficient "c" needed for a parachutists of mass m=68.1kg to have a velocity of 40m/s after free falling for time t=10s. The acceleration due to gravity is 9.8 m/s2. Given: Es=0.1% and initial guess xlower= 12, xupper=16Euler's method is a numerical method for generating a table of values (xi, yi) that approximate thesolution of the differential equation y' = f(x,y) with boundary condition y(xo) = yo. The first entry in thetable is the starting point (xo , yo.). Given the entry (xi , yi ), then entry (xi+1 , yi+1) is obtained using theformula xi+1 = xi + x and yi+1 = yi + xf(xi , yi ). Where h is the small value called step size.Use Euler's method to estimate the value of y when x = 2.5 for the solution of the differential equationy' = x + 3y/x with the boundary condition y(1) = 1. Take x = 0.1, the exact solution of this differentialequation is y = 2x3- x2. Compare your approximation values with the exact value