Which of the following could possibly be the solution to simple motion in time,

Question

Which of the following could possibly be the solution to simple motion in time, a is a constant? A. y(t) = t^2 B. Y(t) = Sin(a middot t) C. Y(t) = Tan(a middot t) D. Y(t) = E. Y(t) = ln(t - a) Which of the following is not true regarding simple harmonic motion (SHM)? A. SHM is a simple model which approximates many real world systems. B. SHM is represented by a function which has a repetition, this repetition's frequency can be represented in terms of an angular speed. C. SHM cannot be graphed or represented visually, it is just a mathematical formula we can use in calculations. D. SHM can be modifies to better approximate systems like damped oscillations and other real world phenomena. E. SHM is a good learning tool to become familiar with more complex analysis. Given the following formula of position: X(t) = 5 middot cos(4 middot t). What is the largest value the function can have on the x axis? 0 4 5 20 There is no limit to the x value of the function.

Explanation / Answer

(27) The simple harmonic motion is a periodic motion which repeats itself after every fixed duration of time. Two simple mathematical equations that describe this motion are sine and cosine. So, the right option is (B)

(28) SHM is important because we can model many real world phenomenas as SHM approximately or combination of SHM's. Due to this wecan visualize any complex physical process interms of SHM. These are represented by mathematical equations which can be plotted in a graph paper. So, the option that says it can be graphed is wrong. So, the answer is (C)

(29) According to the given equation the object oscillates with an amplitude 5. Amplitude is the maximum displacement that the object can have during its motion. So, the right answer to this is 5 that is (C).

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