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.
1 Answer

1. User Answers luisejr77
Answer: [tex]4\ feet[/tex]
Stepbystep explanation:
The missing question is: "How high is the ball when it strikes the bat?"
The exercise provides you the following Quadratic function:
[tex]h(t)=4+60t16t^2[/tex]
You know that it represents the height (in feet) of the ball as a function of the time (in seconds) since the ball hit the bat.
Based on this, you can conclude that when the ball strikes the bat the time in seconds is:
[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.
So, you get:
[tex]h(0)=4+60(0)16(0)^2\\\\h(0)=4[/tex]