Calculus
posted by Katie on .
The velocity of an object t seconds after it started moving is t(t6). Find the total change in the object's position in the 6th second.

v = t^2  6 t
x = (1/3)t^3  3 t^2 + c
x(6) = (1/3)(36*6)  3 (36) + c
= 72  108 + c = 36 + c
x(5) = (1/3)(125)  75 + c
= 33.3 + c
x(6)x(5) = 36 + c +33.3  c
=  2 2/3