Question

A model rocket is launched from a roof into a large field the path of the rocket can be modeled by the equation Y equals -0.05x^2 + 9.6 x + 5.4 where X is the horizontal distance in meters from the starting point on the roof and y is the height in meters of the rocket above the ground how far horizontally from its starting point will the rocket land round your answer to the nearest hundredth

•82.03 m
•6.50 m
• 90.00 m
• 88.53 m​

Answer 1

The answer to this question is going to be 88.53 because you shift it horizontally

Answer 2

it's 160 or 160. 56

Explanation:

since you want the height horizontally from the starting height, and that height was 5.4 metres,

-.06x^2 + 9.6x + 5.4 = 5.4

the 5.4 drops out, so

x(-.06x + 9.6) = 0

x = 0 , the starting time

or

x = 9.6/.06 = 160

it will land after 160 m