10
AssignmentMultiple Choice

Solving Quadratic Equations by Factoring

Question 10 • [INMT3] Integrated Math 3 Sem 1 (26-27)

A ball is thrown into the air with an upward velocity of 80 feet per second. The function h = -16t2 + 80t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground?

Answer
A
after 3 seconds
B
after 4 seconds
C
after 5 seconds
D
after 6 seconds

Explanation

The ball reaches the ground when its height is 0. Set the model equal to zero: -16t² + 80t = 0, which factors as -16t(t - 5) = 0. The solutions are t = 0, when the ball was thrown, and t = 5, when it returns to the ground. So the correct choice is after 5 seconds.

AI-written and checked against the verified answer.

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