practice identifying situations that can be modeled by a periodic function. which situations can be modeled…
practice identifying situations that can be modeled by a periodic function. which situations can be modeled with a periodic function? the height of a flag on one blade of a windmill the height of a baseball after it has been hit the height of a ball suspended from a spring
Answer
Explanation:
Step1: Define periodic function
A periodic function repeats its values at regular intervals.
Step2: Analyze first situation
The height of a flag on one blade of a windmill. As the windmill blade rotates, the height of the flag repeats after each full rotation. So it can be modeled by a periodic function.
Step3: Analyze second situation
The height of a baseball after it has been hit. The baseball goes up, then comes down and doesn't repeat its motion in a regular interval (it will eventually stop on the ground). So it cannot be modeled by a periodic function.
Step4: Analyze third situation
The height of a ball suspended from a spring. As the spring oscillates (bounces up and down), the height of the ball repeats its values at regular intervals (assuming no damping or external factors that would stop the motion). So it can be modeled by a periodic function.
Answer:
The height of a flag on one blade of a windmill and the height of a ball suspended from a spring.