Question

Let s(t) = {t^{2}-2t-6} for 0\leq t \leq 6 denote the position of an object moving along a line. Find


•The velocity at time t is


•The acceleration at time t is


•Find the initial position and the ending position


•Find the total distance traveled by the object




•Find where the velocity is positive Use interval notation.


•Find where the acceleration is positive Use interval notation

Answer 1

differentiate the giben function tofind the velocity.

Answer 2

and substitute t=6.

Answer 3

do u know how to differentiate s(t) @j_c_2 ?

Answer 4

2t-2

Answer 5

and substitute t=6. to find The velocity at time t