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1. A crate of emergency supplies is dropped from an aircraft flying at 500 ft. The crate has a parachute for braking. The height of

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1. A crate of emergency supplies is dropped from an aircraft flying at 500 ft. The crate has a parachute for braking. The height of the crate, in feet, as a function of time, in seconds, is given by h(t) = 508 - 8e- - 16t. (a) Find the average velocity over each of the the given intervals. i. from t; = 2.00 to ii. from t; = 1.98 to iii. from t, = 2.00 to iv. from t, = 1.99 to tf = 2.05 tf = 2.00 tf = 2.01 tf = 2.00 In your calculations, keep at least four places after the decimal point. (b) Based on your results from (la), estimate the instantaneous velocity when t = 2

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