SOLUTION: Suppose you throw an egg vertically into the air from a height of 6 feet above the ground at an initial velocity of 46 feet per second. h=-16t^2+46t+6 Find when the egg hit t

Algebra ->  Radicals -> SOLUTION: Suppose you throw an egg vertically into the air from a height of 6 feet above the ground at an initial velocity of 46 feet per second. h=-16t^2+46t+6 Find when the egg hit t      Log On


   

Question 539247: Suppose you throw an egg vertically into the air from a height of 6 feet above the ground at an initial velocity of 46 feet per second.
h=-16t^2+46t+6 Find when the egg hit the ground.
time in seconds / height of egg
0 / ?
.5 / ?
1 / ?
1.5 / ?
2 / ?
2.5 / ?
3 / ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You need to find the larger of 2 roots by
setting the equation equal to zero
+-16t%5E2+%2B+46t+%2B+6+=+0+
+-8t%5E2+%2B+23t+%2B+3+=+0+
Use the quadratic formula
+t++=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+-8+
+b+=+23+
+c+=+3+
+t+=+%28-23+%2B-+sqrt%28+23%5E2-4%2A%28-8%29%2A3+%29%29%2F%282%2A%28-8%29%29+
+t+=+%28-23+%2B-+sqrt%28+529+%2B+96+%29%29+%2F+%28-16%29+
+t+=+%28-23+%2B-+sqrt%28+625+%29%29+%2F+%28-16%29+
+t+=+%28+-23+%2B+25+%29+%2F+%28-16%29+
+t+=+-1%2F8+ ( can't use negative time )
and, taking the (-) square root,
+t+=+%28+-23+-+25+%29+%2F+%28-16%29+
+t+=+%28-48%29%2F%28-16%29+=+3+
It will hit the ground in 3 sec