The height ,h, in feet of a baseball that is popped up into the air is a quadratic function of the time,t, in seconds, since it was hit. An equation that may mo
Mathematics
irisrivas183
Question
The height ,h, in feet of a baseball that is popped up into the air is a quadratic function of the time,t, in seconds, since it was hit. An equation that may model this situation is h(t)=4+60t16t^2. Answers the following questions accurately, rounding to two decimals places when needed. How high is the ball when it strikes the bat?
1 Answer

1. User Answers luisejr77
Answer: [tex]4\ feet[/tex]
Stepbystep explanation:
The exercise provides you the following Quadratic function:
[tex]h(t)=4+60t16t^2[/tex]
Then, based on the information given in the exercise, you can conclude that, when the ball strikes the bat, the time in seconds is the following:
[tex]t=0[/tex]
Therefore, in order to calculate the height in feet of the ball when it strikes the bat, you need to subsititute [tex]t=0[/tex] into the function and then evaluate.
Then, you get this result:
[tex]h(0)=4+60(0)16(0)^2\\\\h(0)=4+00\\\\h(0)=4[/tex]