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 "{}&q…

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

the particle is moving in the positive direction if V(t) >0
that means dS/dt = 2t -12>0, and t>6, the interval is (6, infinity[