What is wrong with the equation?

[JSmith]

The function

, where h(t) is the height in metres, and t is the time in seconds, models the movement of a spinning wheel relative to the ground. Explain what is wrong with the equation.

 

[MarkFL]

Look at the amplitude vs. the vertical shift...do you see a potential problem?

 

[JSmith]

OHHH, so because the equation is only translated 4 units up, yet has an amplitude of 6, there will be negative y-values, meaning the wheel is below the ground, which isn't possible.

 

[MarkFL]

Yes, assuming the wheel isn't in a trench of some sort allowing part of it to be beneath ground level. :smile: