Chapter 1, Problem 11P

The velocity of a vehicle is measured at two distinct points in time as shown in Fig. P1.11. The velocity satisfies the relationship $v\left(r\right)=v_0+at$, where v₀ is the initial velocity in ft/s and a is the acceleration in ft/s².

(a) Find the equation of the line v(t), and determine both the initial velocity $v_0$ and the acceleration a.

(b) Sketch the graph of the line v(t), and clearly label the initial velocity, the acceleration, and the total stopping time on the graph.