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

question 477

Multiple Choice

The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds) .
- $\mathrm { s } = 7 + 11 \cos \mathrm { t }$
Find the body's velocity at time $t = \pi / 3 \mathrm { sec }$ .

• A)\(- \frac { 11 \sqrt { 3 } } { 2 } \mathrm {~m} / \mathrm { sec }\)
• B) \(\frac { 11 \sqrt { 3 } } { 2 } \mathrm {~m} / \mathrm { sec }\)
• C) \(\frac { 11 } { 2 } \mathrm {~m} / \mathrm { sec }\)
• D)\( - \frac { 11 } { 2 } \mathrm {~m} / \mathrm { sec }\)