**a) **The motion described by the particle is undoubtedly a uniformly accelerated rectilinear motion, since the trajectory is rectilinear and the acceleration is constant.

**b)** In order to calculate the acceleration, we must apply the formula mentioned above, in such a way that the acceleration gives us:

Our acceleration is 2 meters per second squared.

**c)** We are asked to calculate the function of velocity in relation to time, we simply substitute in the formula.

Very easy!!.

**d) **To know what speed the particle will have at the instant of t = 8s, it is enough to substitute the value of “t” in the previous formula.

So the speed at time t = 8s is **21 m/s²**

**e) **In this case we are asked to determine at what instant of time the particle will have a speed of 15 m/s, we replace this value in the formula, simply clearing the variable "t", that is:

Clearing "t"

Substituting the speed value

That is to say that when the particle has a speed of 15 m/s, it will happen exactly at 5 seconds.

**Answer D**

**Step-by-step explanation:**

On average, city B has the longer commute to work.

city A mean = 17 miles

city B mean = 22 miles

therefore d is the right answer