A Particle Moves on a Straight Line with Velocity Function $v ( t ) = \sin \omega t \cos ^ { 3 } a t$

question 103

Multiple Choice

A particle moves on a straight line with velocity function $v ( t ) = \sin \omega t \cos ^ { 3 } a t$ . Find its position function $s = f ( t )$ if $f ( 0 ) = 0$ .

• A) \(\frac { \cos ^ { 5 } \omega t + 1 } { 5 \omega }\)
• B) \(\frac { \sin ^ { 2 } \omega t + 1 } { 7 a }\)
• C) \(\frac { \sin ^ { 3 } \omega t - 1 } { 3 \omega }\)
• D) \(\frac { 1 - \cos ^ { 4 } a t } { 4 a }\)
• E) \(\frac { 1 - \cos ^ { 6 } a t + 1 } { 6 a }\)

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