Answer:
The value of such that the two stones reaches the same maximum height is
Explanation:
For the first stone, we need to find the maximum height reached, and for that we have to derivate the given position function
<em>derivating</em>, we get
now we have to equalize the derivate to zero, and clear t
then, if we put this value of t in the position function, we obtain that the maximum height for the stone is
For the other stone, we have the given position function
And again, <em>derivating</em> and clearing t, we obtain
As the height must be the same for both stones, we can substitute in the position function theese values
From where our value for results to be
Hence, this is the value needed for the second stone to reach the same maximum height than the first stone.