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hammer [34]
3 years ago
11

A ball was thrown upward and its height is modeled by the function h(t) = -4.9t^2 + 58.8t + 98, where h is the height of the bal

l in meter and t is the time in seconds that the ball is in the air. Find the maximum height of the ball to the nearest meter.
Mathematics
2 answers:
Free_Kalibri [48]3 years ago
8 0

Answer:

274 meters

Step-by-step explanation:

The function is a downward parabola.  So the highest point is at the vertex.

t = -b / (2a)

t = -(58.8) / (2 × -4.9)

t = 6

Evaluate the function at that point:

h(6) = -4.9 (6)² + 58.8 (6) + 98

h(6) = 274.4

Rounded to the nearest meter, the maximum height reached is 274 meters.

mr Goodwill [35]3 years ago
5 0
The answer is 15 meters
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