A Mass on a Spring Vibrates Horizontally on a Smooth $x(t)=9 \sin t$

question 71

Multiple Choice

A mass on a spring vibrates horizontally on a smooth level surface (see the figure) . Its equation of motion is $x(t) =9 \sin t$ , where t is in seconds and x in centimeters. Find the velocity at time t.

• A) \(v(t)=9 \cos t\)
• B) \(v(t)=2 \cos 9 t\)
• C) \(v(t)=\cos 9 t\)
• D) \(v(t)=9 \sin 9 t\)
• E) \(v(t)=\sin 9 t\)

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