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?

Problem 9

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?

Step by Step Solution

Step 1 of 3

(a)

Given that the ball is 4 ft above the ground.

The initial value of the ball is 4.

The maximum height is 148 ft.

So, this means

The vertex form of parabola is.

Here, time is x and the height is y.