SOLUTION: The height of an object thrown upward with an initial velocity of 96 feet per second is given by the formula h = -16t2 + 96t, where t is the time in seconds. How long will it take

Algebra ->  Rectangles -> SOLUTION: The height of an object thrown upward with an initial velocity of 96 feet per second is given by the formula h = -16t2 + 96t, where t is the time in seconds. How long will it take       Log On


   

Question 459071: The height of an object thrown upward with an initial velocity of 96 feet per second is given by the formula h = -16t2 + 96t, where t is the time in seconds. How long will it take the object to reach a height of 144 feet?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+h+=+-16t2+%2B+96t+
+144+=+-16t%5E2+%2B+96t+
+-16t%5E2+%2B+96t+-+144+=+0+

+a+=+-1+
+b+=+6+
+c+=+-9+
+t+=+%28-6+%2B-+sqrt%28+36+-+4%2A%28-1%29%2A%28-9%29+%29%29%2F%282%2A%28-1%29%29+
+t+=+%28-6+%2B-+sqrt%28+36+-+36+%29%29+%2F+%28-2%29+
+t+=+%28-6%29+%2F+%28-2%29+=+3+
It takes 3 sec to reach a height of 144 ft