algebra
posted by tracy on .
A baseball player hits a baseball into the outfield. The following equation models the ball's path. If not caught, when will the baseball land? Round to the nearest tenth second.
h = 16t^2 + 50t + 4

OK. The four questions you posted are all basically the same. Here's help on this one:
The baseball will land when the height is zero.
So, you need to solve
16t^2 + 50t + 4 = 0
Unless you see an abvikus factoring, use the quadratic formula:
for f(x) = ax^2 + bx + c,
x = (b ± √(b^2  4ac)]/2
Here, a = 16
b = 50
c = 4
t = (50 ± √(50^2  4(16)(4))]/32
= (50 ± √(2500 + 256)]/32
= (50 ± √2756]/32
= (50 ± 52.5)]/32
t = 0.07 or 3.2
Since time is positive, use t = 3.2 sec