9. points LarColAlg9 14.119 Notes O Ask Your Tea Use the position equation given
ID: 3169952 • Letter: 9
Question
9. points LarColAlg9 14.119 Notes O Ask Your Tea Use the position equation given below, where s represents the height of the object (in feet), vo represents the initial velocity of the object (in feet per second), sp represent the initial height of the object (in feet), and t represents the time (in seconds), as the model for the problem. s=-16t2 + vot + so An aircraft flying at 650 feet over level terrain drops a supply package (a) How long will it take until the supply package strikes the ground? (Round your answer to three decimal places.) sec (b) The aircat is fiying at 146 miles per hour: How far will he supply package travel hortzontaly during ts descent? (Round your nser to one decimal lace.) ft Need Help?Explanation / Answer
(a) v0 = 0
s0 = 650
s = -16t2 +650
At ground, s=0
=> 0 = -16t2 + 650
=> -650 = -16t2
=> 650/16 = t2
=> 40.625 = t2
=> t = 6.374 seconds
(b) v = 146 mi/hr = 146*5280/3600 ft/sec = 214.133 ft/sec
t = 6.374 from (a)
Hence distance = v*t = 214.133 * 6.374 = 1364.886 feet
=> sx = 1364.886 feet
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