44.2k views
5 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.

User Chhenning
by
6.4k points

1 Answer

4 votes

Answer:
4\ feet

Explanation:

The missing question is: "How high is the ball when it strikes the bat?"

The exercise provides you the following Quadratic function:


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

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:


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.

So, you get:


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

User Qualia
by
6.5k points