The position of a particle moving along the x-axis with a constant acceleration may be determined from the expression x(t)=bt+ct2, where b = 2.00 m/s, c=7.50 m/s2, and x will be in meters when t is in seconds.
Determine the following.
(a) the average velocity of the particle over the time interval
t=(1→3) s.
(b) the instantaneous velocity of the particle at t = 2 s, the midpoint of the above time interval. (Indicate the direction with the sign of your answer.)