Question

s=t2−12t+35
Use interval notation to indicate when the particle is moving in the positive direction. (If the particle is never moving in the positive direction, enter "{}" without the quotation marks.)

Answer 1

particle is moving in the positive direction, aka velocity is positive, aka the function is increasing, aka s'>0

Answer 2

s' = 2t-12
2t-12>0
2t>12
t>6

Answer 3

{6, inf}

Answer 4

great! i understand it now!