Trigonometric Function Modeling Spring Motion
The function, h(t ) = 6 cos(3π • t - $\frac{π}{3} $ ) + 4 , where h(t) is in metres and t is in seconds, models the movement
of a spinning wheel relative to the ground. Explain what is wrong with the equation.
1 Answer
Since $\cos (3\pi t -\frac{\pi}{3})$ takes the value $-1$ for $3\pi t -\frac{\pi}{3}=(2k+1)\pi$. for such times
\[h(t)=6 (-1)+4=-2<0.\]
This means that at certain times the spring will be 2 meters underground! That's what is wrong with the equation
Erdos
4.8K
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- 1 Answer
- 417 views
- Pro Bono
Related Questions
- Same exponents in two nonlinear function deriving the same result?
- Domain question
- Is it true almost all Lebesgue measurable functions are non-integrable?
- Homework Year 12 Trig Identities Questions (Check Photos)
- Sinusoidal function question help
- Inclusion-Exclusion and Generating Function with Coefficient (and Integer Equation)
- Evaluate if possible the following limits, Check if L'Hopital's rule is appropriate to use, if so use it.
- continuous function
