Baseball Problem: Ruth hits a high fly ball to right field. The ball was 4 ft above the

Chapter 7, Problem 9

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QUESTION:

Baseball Problem: Ruth hits a high fly ball to right field. The ball was 4 ft above the ground when she hit it. Three seconds later it reaches its maximum height, 148 ft.

a. Write an equation in vertex form for the quadratic function expressing the relationship between the height of the ball and time. Transform it so that height is expressed as a function of time.

b. How high was the ball 5 sec after it was hit?

c. If nobody catches the ball, how many seconds after it was hit will it reach the ground?

Questions & Answers

QUESTION:

Baseball Problem: Ruth hits a high fly ball to right field. The ball was 4 ft above the ground when she hit it. Three seconds later it reaches its maximum height, 148 ft.

a. Write an equation in vertex form for the quadratic function expressing the relationship between the height of the ball and time. Transform it so that height is expressed as a function of time.

b. How high was the ball 5 sec after it was hit?

c. If nobody catches the ball, how many seconds after it was hit will it reach the ground?

ANSWER:

Step 1 of 5

The formula of the vertex form of a parabola:

\(y = a{\left( {x - h} \right)^2} + k\)

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