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The Equation Gives the Position S = F(t) of a Body

Question 381

Multiple Choice

The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds) .
- s=9+3cost\mathrm { s } = - 9 + 3 \cos t
Find the body's acceleration at time t=π/3sect = \pi / 3 \mathrm { sec } .


A) 32 m/sec2\frac { 3 } { 2 } \mathrm {~m} / \mathrm { sec } ^ { 2 }
B) 332 m/sec2\frac { 3 \sqrt { 3 } } { 2 } \mathrm {~m} / \mathrm { sec } ^ { 2 }
C) 32 m/sec2 - \frac { 3 } { 2 } \mathrm {~m} / \mathrm { sec } ^ { 2 }
D) 332 m/sec2- \frac { 3 \sqrt { 3 } } { 2 } \mathrm {~m} / \mathrm { sec } ^ { 2 }

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