Suppose you measured the speed of a shuttlecock falling, and got the following data points. time...
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Suppose you measured the speed of a shuttlecock falling, and got the following data points. time (s) velocity (m/s) 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 0 3.3 4.8 5.5 5.9 6.1 6.1 6.1 6.1 (a) Use a Riemann sum to approximate the total distance travelled by the shuttlecock. (b) Use the trapezoidal rule to approximate the total distance travelled by the shuttlecock. (c) Use the central difference formula to approximate the acceleration of the shuttlecock when t = 0.75 s. (d) A model of the shuttlecock's velocity is v = Umax(1 - e-kt). Use the table to suggest an appropriate value for Umar, the terminal velocity. Hint: What is lim Umax (1 - e-kt)? 0047 = 3. (e) Plot the points and the curve to verify that they are in good agreement when k (f) Use the equation in (d) to calculate the acceleration when t = 0.75 s. (g) Use the equation in (d) to calculate the total distance travelled between 0 and 2 seconds. Suppose you measured the speed of a shuttlecock falling, and got the following data points. time (s) velocity (m/s) 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 0 3.3 4.8 5.5 5.9 6.1 6.1 6.1 6.1 (a) Use a Riemann sum to approximate the total distance travelled by the shuttlecock. (b) Use the trapezoidal rule to approximate the total distance travelled by the shuttlecock. (c) Use the central difference formula to approximate the acceleration of the shuttlecock when t = 0.75 s. (d) A model of the shuttlecock's velocity is v = Umax(1 - e-kt). Use the table to suggest an appropriate value for Umar, the terminal velocity. Hint: What is lim Umax (1 - e-kt)? 0047 = 3. (e) Plot the points and the curve to verify that they are in good agreement when k (f) Use the equation in (d) to calculate the acceleration when t = 0.75 s. (g) Use the equation in (d) to calculate the total distance travelled between 0 and 2 seconds.
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
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