SOLUTION: A ball is thrown from an initial height of 3 meters with an initial upward velocity of 30 m/s. The balls height (in meters) after “t” seconds is given by the following. H=3+3

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A ball is thrown from an initial height of 3 meters with an initial upward velocity of 30 m/s. The balls height (in meters) after “t” seconds is given by the following. H=3+3      Log On


   



Question 1144918: A ball is thrown from an initial height of 3 meters with an initial upward velocity of 30 m/s. The balls height (in meters) after “t” seconds is given by the following.
H=3+30t-5t squared
Find all values of t for which the balls height is 13 meters.
Round your Answer to the nearest hundredth.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+H+=+3+%2B+30t+-+5t%5E2+
+H+=+13+ m
+-5t%5E2+%2B+30t+%2B+3+=+13+
+-5t%5E2+%2B+30t+-+10+=+0+
+H+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+-5+
+b+=+30+
+c+=+-10+
+H+=+%28+-30+%2B-+sqrt%28+30%5E2+-+4%2A%28-5%29%2A%28-10%29+%29%29%2F%282%2A%28-5%29%29+
+H+=+%28+-30+%2B-+sqrt%28+900+-+200+%29%29%2F%28+-10+%29+
+H+=+%28+-30+%2B-+sqrt%28+700+%29%29%2F%28+-10+%29+
You can finish. should get 2 values for +H+