h(t) = -16t2 + 50t + 6, where t is the time in seconds since the ball was thrown. It takes the ball approximately _____ seconds to reach its maximum height. (Round to the nearest tenth of a second and enter only the number.)
To find the time it takes for the ball to reach its maximum height, we need to find the vertex of the parabolic function represented by the equation h(t) = -16t^2 + 50t + 6.
The vertex of a parabola in the form h(t) = at^2 + bt + c is given by the formula t = -b/2a.
In this case, a = -16 and b = 50. Plugging these values into the formula, we get:
t = -50 / (2 * -16)
t = -50 / -32
t = 1.5625
Rounding to the nearest tenth, the ball takes approximately 1.6 seconds to reach its maximum height.