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The Displacement D (In Meters) of an Object at Time d=1cos(π2t)d = - 1 \cos \left( \frac { \pi } { 2 } t \right)

Question 101

Multiple Choice

The displacement d (in meters) of an object at time t (in seconds) is given. Describe the motion of the object. What is the
maximum displacement from its resting position, the time required for one oscillation, and the frequency?
- d=1cos(π2t) d = - 1 \cos \left( \frac { \pi } { 2 } t \right)


A) simple harmonic; 1 m;14sec;41 \mathrm {~m} ; \frac { 1 } { 4 } \mathrm { sec } ; 4 oscillations/sec
B) simple harmonic; 1 m;4sec;14- 1 \mathrm {~m} ; 4 \mathrm { sec } ; \frac { 1 } { 4 } oscillation/sec
C) simple harmonic; 1 m;2sec;121 \mathrm {~m} ; 2 \mathrm { sec } ; \frac { 1 } { 2 } oscillation/sec
D) simple harmonic; 1 m;4sec;141 \mathrm {~m} ; 4 \mathrm { sec } ; \frac { 1 } { 4 } oscillation/sec

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