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

question 98

Multiple Choice

The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.
- $$s = - t ^ { 3 } + 8 t ^ { 2 } - 8 t , 0 \leq t \leq 8$$
Find the body's speed and acceleration at the end of the time interval.

• A) \(8 \mathrm {~m} / \mathrm { sec } , 0 \mathrm {~m} / \mathrm { sec } ^ { 2 }\)
• B) \(- 72 \mathrm {~m} / \mathrm { sec } , - 32 \mathrm {~m} / \mathrm { sec } ^ { 2 }\)
• C) \(72 \mathrm {~m} / \mathrm { sec } , - 8 \mathrm {~m} / \mathrm { sec } ^ { 2 }\)
• D) \(72 \mathrm {~m} / \mathrm { sec } ^ { - } - 32 \mathrm {~m} / \mathrm { sec } ^ { 2 }\)

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