The displacement d (in meters) of an object at time t (in seconds) is given by the following equation. Answer parts (a) through (d). d = - 5 sin (a) Describe the motion of the object. Is the motion simple harmonic? - bt O A. No, because the given equation is in the form of d(t) = a e b2 2m cos O B. No, because the given equation is not in the form of d = a sin (ot). 4m2t - bt O C. Yes, because the given equation is not in the form of d(t) = a e 2m 62 cos O D. Yes, because the given equation is in the form of d = a sin (ot). 4m2

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(b) What is the maximum displacement from its resting position?
meters
(c) What is the time required for one oscillation?
second(s)
(Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.)
(d) What is the frequency?
oscillations per second
(Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:(b) What is the maximum displacement from its resting position? meters (c) What is the time required for one oscillation? second(s) (Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (d) What is the frequency? oscillations per second (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.)
The displacement d (in meters) of an object at time t (in seconds) is given by the following equation. Answer parts (a) through (d).
1
d = - 5 sin
(a) Describe the motion of the object.
Is the motion simple harmonic?
- bt
b2
2m
O A. No, because the given equation is in the form of d(t) = a e
COS
4m2
B. No, because the given equation is not in the form of d = a sin (ot).
- bt
b2
-t
4m2
2m
C. Yes, because the given equation is not in the form of d(t) = a e
CoS
D. Yes, because the given equation is in the form of d = a sin (@t).
Transcribed Image Text:The displacement d (in meters) of an object at time t (in seconds) is given by the following equation. Answer parts (a) through (d). 1 d = - 5 sin (a) Describe the motion of the object. Is the motion simple harmonic? - bt b2 2m O A. No, because the given equation is in the form of d(t) = a e COS 4m2 B. No, because the given equation is not in the form of d = a sin (ot). - bt b2 -t 4m2 2m C. Yes, because the given equation is not in the form of d(t) = a e CoS D. Yes, because the given equation is in the form of d = a sin (@t).
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