For the simple harmonic motion described by the trigonometric function,find the maximumvalue of d when .? $$d = 6 \cos \frac { 6 \pi } { 5 } t$$ Round your answer to nearest whole number. ?
A)1
B)10
C)6
D)5
E)0

Question

Quizplus · Accepted Answer

For simple harmonic motion described by a trigonometric function of the form d = A sin(ωt + φ), the maximum value of d is given by A, which is the amplitude of the motion.

Since the question does not provide the specific trigonometric function, we can assume that it is a sine function (as this is the most common). Without other information, we cannot determine the value of A or ω, but we can still find the maximum value of d by using the fact that the maximum value of sine function is always 1. Therefore, the maximum value of d in this case is A × 1 = A.

Assuming that A is a positive integer (which is reasonable since distance cannot be negative), the only integer choice in the answer options that is a possible value of A is 6. Therefore, the best answer choice is C) 6.

For the Simple Harmonic Motion Described by the Trigonometric Function,find d=6cos⁡6π5td = 6 \cos \frac { 6 \pi } { 5 } td=6cos56π​t

For the Simple Harmonic Motion Described by the Trigonometric Function,find $d = 6 \cos \frac { 6 \pi } { 5 } t$