Question

1. The height, h , of a rocket in feet given the time in seconds, t , since launch can be modelled with the function h(t)=−16(t−10)^2+1608 . Determine the vertical intercept (y-intercept) and axis of symmetry of the function and interpret them in context.

The vertical intercept is-----------------
The axis of symmetry is--------
(0, 8), this means that the initial height of the rocket was 8 feet
(0, 1608) this means that the maximum height of the rocket is 1608 feet
(0, 8) this means that the maximum height of the rocket is 8 feet
(0, 1608) this means that the initial height of the rocket was 1608 feet
t = 16, this is when the rocket reaches its maximum height and begins its descent
t = 10, this is when the rocket hits the ground
t = 10, this is when the rocket reaches its maximum height and begins its descent
t = 16, this is when the rocket hits the ground

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answers are:

- The vertical intercept (y-intercept) is (0, 1608). This means that at the time of launch (t = 0), the rocket was at a height of 1608 feet.
- The axis of symmetry is t = 10. This means that the rocket reaches its maximum height at t = 10 seconds and begins its descent after that.