The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.
-$$s = 2 t ^ { 2 } + 4 t + 6,0 \leq t \leq 2$$
Find the body's speed and acceleration at the end of the time interval.
A) $18 \mathrm {~m} / \mathrm { sec } ^ { 4 } 4 \mathrm {~m} / \mathrm { sec } ^ { 2 }$
B) $12 \mathrm {~m} / \mathrm { sec } ^ { 4 } 4 \mathrm {~m} / \sec ^ { 2 }$
C) $8 \mathrm {~m} / \mathrm { sec } , 2 \mathrm {~m} / \mathrm { sec } ^ { 2 }$
D) $12 \mathrm {~m} / \mathrm { sec } , 8 \mathrm {~m} / \mathrm { sec } ^ { 2 }$

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The Answer of The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.
-$$s = 2 t ^ { 2 } + 4 t + 6,0 \leq t \leq 2$$
Find the body's speed and acceleration at the end of the time interval.
A) $18 \mathrm {~m} / \mathrm { sec } ^ { 4 } 4 \mathrm {~m} / \mathrm { sec } ^ { 2 }$
B) $12 \mathrm {~m} / \mathrm { sec } ^ { 4 } 4 \mathrm {~m} / \sec ^ { 2 }$
C) $8 \mathrm {~m} / \mathrm { sec } , 2 \mathrm {~m} / \mathrm { sec } ^ { 2 }$
D) $12 \mathrm {~m} / \mathrm { sec } , 8 \mathrm {~m} / \mathrm { sec } ^ { 2 }$

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