y Noles ASkYour feac Use the position equation given below, where s represents t

Question

y Noles ASkYour feac 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), so represents the initial height of the object (in feet), and t represents the time (in seconds), as the model for the problem. An aircraft flying at 300 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.) t a x sec (b) The aircraft is flying at 146 miles per hour. How far will the supply package travel horizontally during its descent? (Round your answer to one decimal place.) Need Help? PaadI Talk te Tater Talk to a Tutor

Explanation / Answer

(a). Here v0 is not mentioned. However, since the supply package has been dropped, it can be presumed that v0 = 0. Let the supply package strike the ground after t seconds. Then, 0 = -16t2 +300 or, 16t2 = 300 or t2 = 300/16 = 75/4. Then t = (?75)/2 =( 5?3)/2 = 4.330 seconds ( on rounding off to 3 decimal places).

(b). Here, v0 = 146. Let the supply package strike the ground after t seconds. Then 0 = -16t2 + 146t +300 or, -8t2+ 73t+150 = 0. This is a quadratic equation in the variable t. The solution will tell us about the time taken before the supply package strikes the ground, but not the horizontal distance travelled. The information provided is inadequate.

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