12
QuizMultiple Choice

Modeling with Quadratic Functions

Question 12 • *Integrated Math II Full

The function relating the height of an object off the ground to the time spent falling is a quadratic relationship. Travis drops a tennis ball from the top of an office building 90 meters tall. Three seconds later, the ball lands on the ground. After 2 seconds, how far is the ball off the ground?

Answer
A
30 meters
B
40 meters
C
50 meters
D
60 meters

Explanation

For an object dropped from rest, the distance it falls is proportional to the square of the time. In 3 seconds it falls 90 meters, so after 2 seconds it has fallen 90 × (2/3)² = 40 meters. Its height above the ground is 90 − 40 = 50 meters, so the correct choice is 50 meters.

AI-written and checked against the verified answer.

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