8 A test rocket is fired and follows a path described by y = 0.1x(200 – x). The height is y metres above ground and x is the horizontal distance in metres.
How far does the rocket travel horizontally?
b How high does the rocket reach mid-flight?

a) The rocket travels 200 meters horizontally.

b) The height of the rocket mid-flight is of 1000 meters.

Step-by-step explanation:

Height of the rocket:

The height of the rocket, in meters, after an horizontal distance of x, is given by:

a) How far does the rocket travel horizontally?

This is x when . So

Then

And

So

The rocket travels 200 meters horizontally.

b How high does the rocket reach mid-flight?

This it the height y when x = 0, so:

The height of the rocket mid-flight is of 1000 meters.

c

-by-step explanation:

it would be c

600,000,000,000, or 6e14

step-by-step explanation: