SOLUTION: "The polynomial -16t^2 + 200t represents the height, in feet, of a model rocket t seconds after launch. The rocket contains a small firecracker that explodes 6.2 seconds after laun

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: "The polynomial -16t^2 + 200t represents the height, in feet, of a model rocket t seconds after launch. The rocket contains a small firecracker that explodes 6.2 seconds after laun      Log On


   

Question 50668: "The polynomial -16t^2 + 200t represents the height, in feet, of a model rocket t seconds after launch. The rocket contains a small firecracker that explodes 6.2 seconds after launch. Jeremy launches teh rocket straight up into the air. If sound travels at about 1144 ft/s, how many seconds after launch will Jeremy hear the firecracker go off? Round the answer to the nearest tenth of a second. Show your work."
Answer by venugopalramana(3286) About Me  (Show Source):
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"The polynomial -16t^2 + 200t represents the height, in feet, of a model rocket t seconds after launch. The rocket contains a small firecracker that explodes 6.2 seconds after launch. Jeremy launches teh rocket straight up into the air. If sound travels at about 1144 ft/s, how many seconds after launch will Jeremy hear the firecracker go off? Round the answer to the nearest tenth of a second. Show your work."
s=-16t^2+200t...at t=6.2 sec
s=-16*6.2^2+200*6.2=624.96 ft.
time to hear the sound =625/1144=0.55 sec