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+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?

Answer 1

Answer: $4\ feet$

Step-by-step 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:

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