221k views
3 votes
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+60t-16t^2. Answers the following questions accurately, rounding to two decimals places when needed. How high is the ball when it strikes the bat?

User Opsocket
by
5.0k points

1 Answer

5 votes

Answer:
4\ feet

Explanation:

The exercise provides you the following Quadratic function:


h(t)=4+60t-16t^2

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:


t=0

Therefore, in order to calculate the height in feet of the ball when it strikes the bat, you need to subsititute
t=0 into the function and then evaluate.

Then, you get this result:


h(0)=4+60(0)-16(0)^2\\\\h(0)=4+0-0\\\\h(0)=4