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? What is the meaning of a(t)

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?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

|dw:1394076531573:dw| as shown, when v(t)>0, the object moves up along the vertical line

anonymous · Answer

thanks alot