SOLUTION: 4. A video tracking device recorded the height h, in metres, of a baseball after it was hit into the air. The data collected can be modelled by the quadratic relation h = - 3(t

Algebra ->  Average -> SOLUTION: 4. A video tracking device recorded the height h, in metres, of a baseball after it was hit into the air. The data collected can be modelled by the quadratic relation h = - 3(t       Log On


   



Question 1186903: 4. A video tracking device recorded the height h, in metres, of a baseball after it was hit into the air. The data
collected can be modelled by the quadratic relation h = - 3(t - 3) 2 + 18, where t is the time in seconds after the ball was
hit.
a. Sketch a graph that represents the height of the baseball.
b. What was the maximum height reached by the baseball?
c. When did the baseball reach its maximum height?
d. At what time(s) was the baseball at a height of 10 m?
e. Approximately when did the baseball hit the ground?

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

Consider starting moment  t = 0,  when the baseball was hit.

Its height at this time moment is,  according to the formula

        h = -3*(0-3)^2 + 18 = -3*9 + 18 = -27 + 18 = - 9 meters.

Negative height ?   Don't you think it is quite nonsensical ?