During batting practice, two pop flies are hit from the same location, 2 s apart. The paths are modeled by the equations h = -16

Question

3 months ago

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During batting practice, two pop flies are hit from the same location, 2 s apart. The paths are modeled by the equations h = -16

t^2 + 56t and h = -16t^2 + 156t - 248, where t is the time that has passed since the first ball was hit. Explain how to find the height at which the balls meet. Then find the height to the nearest tenth.

Mathematics

1 answer:

Inessa [12.5K] · Answer 1 · 2026-02-23T12:25:25+03:00

Answer:

2.5 seconds after the initial ball was struck.

Step-by-step explanation:

The height equations are:

h = -16t² + 56t

h = -16t² + 156t - 248

At the point where the balls intersect, both heights are alike, therefore:

-16t² + 56t = -16t² + 156t - 248

-16t² + 56t + 16t² - 156t + 248 = 0

- 100t + 248 = 0

248 = 100t

t = 248/100

t = 2.48 ≈ 2.5