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25. A punter kicks a football upward with an initial speed of 48 feet per second. After how many seconds does the ball hit the ground? Use the formula h = rt − 16t2 where h represents height in feet and r represents the initial speed.

Respuesta :

nobillionaireNobley
h = rt - 16t^2
0 = 48t - 16t^2
16t^2 - 48t = 0
16t(t - 3) = 0
t - 3 = 0
t = 3

Therefore, it will take the ball 3 minutes to hit the ground.
 h = 0 when it hits the ground, therefore: 
-16t^2 + 48t = 0 

--------------------------------------... 
Factor out -16t 
-16t(t + 3) = 0 
: 
Two solutions 
t = 0, when it begins it's upward journey 
and 
t = 3 sec, when it returns to earth 

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