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

h = 6.5 feet

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
`(dh)/(dt)=0`

So,

`(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.