Question

can someone solve and explain this to me please!
A particle moves on a vertical line so that its coordinate at time t is s(t)= t^3 - 12t + 3 when t >/= 0?


a. Find the velocity v(t) and acceration a(t).
b. What is the meaning of v(t) > 0? What is the meaning of v(t) < 0?
c. What is the meaning of a(t) > 0? What is the meaning of a(t) < 0?

Answer 1

a) v(t)=s'(t) and a(t)=v'(t)
b) draw a coordinate system. what direction does a positive velocity correspond to?

Answer 2

okay i understand a but ihave no clue for b and c

Answer 3

as shown, when v(t)>0, the object moves up along the vertical line

Answer 4

thanks alot