World prob (pre calc)

Question

The height of a stone catapulted into the air is given by , where  is the horizontal distance from the point at which the stone is launched. Both the height and horizontal distance are in feet.

How high was the stone when it was catapulted?

What was the maximum height of the stone? 

How far from the catapult does the stone strike the ground? 

Answer 1

When catapulted x=0 --> Height is 2

max height:

-b/(2a) = -4/(2*-1400) = -4/-2800 = 1/700

(-1400)(1/700)^2 + 4(1/700) + 2 =

-1400/490000 + 4/700 + 2 =

-1400/490000 + 2800/490000 + 2 =

1400/490000 + 980000/490000 =

981400/490000 = 2.002 and 3/25000