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.
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:
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.
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