Question

Joanne hit a ball straight up into the air. The height of the ball in meters, is given by the function h(t)= -5(t-3)^2+45 t seconds after the ball is hit. What is the maximum height the ball will reach

Answer 1

9514 1404 393

Answer:

  45 meters

Step-by-step explanation:

The equation is given in vertex form:

  h(t) = a(t -b)^2 +c

where (b, c) is the vertex (maximum).

The values of the parameters are ...

  a = -5, b = 3, c = 45

Then the maximum height is (time, height) = (3, 45).

The maximum height of the ball is 45 meters.