Question

The pathway of a frog jumping onto a lily pad can be represented by the equation h= -0.5t^2 +3t+2

Answer 1

Answer:

h = 6.5 feet

Step-by-step explanation:

The height of the frog as a function of time is given by :

$h= -0.5t^2 +3t+2$ .....(1)

We need to find the maximum height reached by the frog. We can find it as follows :

Put $\dfrac{dh}{dt}=0$

So,

$\dfrac{d}{dt}(-0.5t^2 +3t+2)=0\\\\-t+3=0\\\\t=3$

Put t = 3 in equation (1).

$h= -0.5(3)^2 +3(3)+2\\\\h=6.5\ feet$

So, the maximum height is 6.5 feet.