Mathematics

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.

1 Answer

  • Answer: [tex]4\ feet[/tex]

    Step-by-step 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+60t-16t^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]