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Recall that the velocity of the falling parachutist can be computed by [Eq. (1.10)],
Use a first-order error analysis to estimate the error of v at
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- The upward velocity of a rocket can be computed by the following formula: m. v = u ln mo gt qt where v =upward velocity,u = the velocity at which fuel is expelled relative to the rocket, m, = the initial mass of the rocket, q = the fuel consumption rate, and g = the downward acceleration of gravity (assumed constant =9.81 m/s2). %3D If u = 2200 m/s, m, = 160000 kg and q v = 1000 m/s using, = 2680 kg/s, compute the time at which 1. The graphical method, take t = 0 to 30 s with step (10 s). 2. The false-position method to within ɛ, = 0.12%. Use initial guesses of t = 20 s and 30 s. %3Darrow_forwardThe displacement of the apex of a sail mast is calculated by the following equation is given. In this equation, F = side wind load (lb/ft), L = height (ft), E=modulus of elasticity (lb/ft2 ) and I=moment of inertia(ft4 ). Using the data below Estimate the error for the variable y function? (Six digits after the comma in your transactions take it)arrow_forward6. A ball is thrown straight up in the air at time t = 0. Its height y(t) is given by y(t) = vot - 791² (1) Calculate: (a) The time at which the ball hits the ground. First, make an estimate using a scaling analysis (the inputs are g and vo and the output is the time of landing. Think about their units and how you might construct the output using the inputs, just by matching units). Solve the problem exactly. Verify that the scaling analysis gives you (almost) the correct answer. (b) The times at which the ball reaches the height v/(4g). Use the quadratic formula. (c) The times at which the ball reaches the height v/(2g). You should find that both solutions are identical. What does this indicate physically? (d) The times at which the ball reaches the height v/g. What is the physical interpretation of your solutions? (e) Does your scaling analysis provide any insight into the answers for questions (a-e)? Discuss. (Hint: Observe how your answers depend on g and vo).arrow_forward
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