Please help with explanation!

The position of a particle moving on a horizontal line [where S is in feet to the right of a fixed reference point and 'f: is in seconds after the start of the observation] is it} =t44t+22, t2 [1. [A] Find the velocity, in feet per second, at time t: tiff) = D [E] Find the velocityr [in ftfsec] of the particle at time 'f: = 3. D [(3] Find all values of 'f: for which the particle is at rest. [If there are no such values, enter none . If there are more than one value, list them separated by commas.) to [D] Use interval notation to indicate when the particle is moving in the positive direction. [If needed, enter inf for oo. If the particle is never moving in the positive direction, enter none .] E] (E) Find the total distance [in feet] traveled during the first 8 seconds. [3