position function is x(t)=(t-1)^3 (2t-3)

how do you find the velocity of the particle at nay time when t is greater or equal to 0?

i got the derivative equation (6t-9)(t-1)^2 + 2(t-1)^3
but that is for all t.

1 answer

Your formula is correct. All you have to do is apply if for positive t only.