Question

An object moves along the line so that it's velocity at time "t" is v(t) = 3t^2 - 24t + 36 ft/s. Find the displacement and the total distance traveled by the object for -1< (or equal) t < (or equal) 9 An object moves along the line so that it's velocity at time "t" is v(t) = 3t^2 - 24t + 36 ft/s. Find the displacement and the total distance traveled by the object for -1< (or equal) t < (or equal) 9 @Mathematics

Answer 1

1\[\le\]t\[\le\]9

Answer 2

for displacement
just do \[\int\limits_{1}^{9}v.dt = t^3 -12t^2 +36t \]

and apply the limits from 1 to 9

Answer 3

this was for displacement, now for finding the distance,

we will have to integrats modulous of v.dt in the given interval

Answer 4

May I see the complete work out if possible please