Question 127493
{{{graph(600,600,0,10,0,300,-16x^2+48x+200)}}}



How high off the ground would the ball be at a time of 4 seconds?  Just plug 4 in for x and do the arithmetic.


In how many secinds [sic] will the ball reach its highest point/ what is the highest point?  The highest point will be the value of the function at the vertex of the graphed parabola, and the time it gets there will be the x-coordinate of the vertex.  The x-coordinate of the vertex of a parabola of the form {{{y=ax^2+bx+c}}} is given by {{{-b/2a}}}.  Once you have calculated the x-coordinate, plug that value into the function to get the function value.

In how many seconds will the ball reach the ground?  The ground is 0 height.  Set the function equal to 0 and solve, excluding any negative root.