The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from

Question

asambeis [7]

3 years ago

6

The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from

a helicopter.
From what height is the object dropped? Explain how you know.

Mathematics

1 answer:

kipiarov [429] · Answer 1 · 2022-06-25T09:00:20+03:00

Answer:

Step-by-step explanation:

Let's FOIL this out and get it into standard quadratic format:

$h(t)=-4.9t^2+490$ . The lack of a linear term in the middle means therewas no upwards velocity, consistent with the object being dropped straight down as opposed to thrown up in the air tand then falling in a parabolic path. The -4.9t² represents the acceleration due to gravity, and the 490 represents the height from which the object was dropped. The constant in a quadratic that is modeling parabolic motion always represents the height from which the object was dropped (or launched). That's how you know.