Question 936137
she catches the fruit when:
h(t) = j(t)
-16t^2 + 27t + 5 = 6t^2 - 10t + 3
27t + 5 = 22t^2 - 10t + 3
5 = 22t^2 - 37t + 3
0 = 22t^2 - 37t - 2
.
Applying the "quadratic formula" we get:
t = {1.73, -0.05}
we throw out the negative solution leaving:
t = 1.7 seconds
.
details of "quadratic" to follow:
*[invoke quadratic "t", 22, -37, -2 ]