which of the following situations can be modeled with a periodic function?\no the height of a football after…

which of the following situations can be modeled with a periodic function?\no the height of a football after it has been thrown\no the height of a person riding on an escalator\no the height of a building after it has been constructed\no the height of a pebble stuck in the tread of a tire

which of the following situations can be modeled with a periodic function?\no the height of a football after it has been thrown\no the height of a person riding on an escalator\no the height of a building after it has been constructed\no the height of a pebble stuck in the tread of a tire

Answer

Answer:

D. the height of a pebble stuck in the tread of a tire

Explanation:

Step1: Understand periodic function

A periodic function repeats its values at regular intervals.

Step2: Analyze each option

  • For the height of a football after it has been thrown, it follows a parabolic - like path (due to gravity) and does not repeat in a regular cycle, so it is not periodic.
  • The height of a person riding on an escalator changes linearly with time as the escalator moves at a constant speed, not periodic.
  • The height of a building after it has been constructed is a constant value and not a periodic function.
  • For the height of a pebble stuck in the tread of a tire, as the tire rotates, the height of the pebble relative to the ground repeats in a regular cycle as the tire makes full rotations. So it can be modeled by a periodic function.