A cat walks in a straight line, which we shall call the x-axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat’s motion and construct a graph of the feline’s velocity as a function of time (?Fig. E2.30?). (a) Find the cat’s velocity at t = 4.0 s and at t = 7.0 s. (b) What is the cat’s acceleration at t = 3.0 s? At t = 6.0 s? At t = 7.0 s? (c) What distance does the cat move during the first 4.5 s? From t = 0 to t = 7.5 s? (d) Assuming that the cat started at the origin, sketch clear graphs of the cat’s acceleration and position as functions of time.

Solution 30E Step 1 of 6: (a) Find the cat’s velocity at t = 4.0 s and at t = 7.0 s. From the given v-t graph, Cat’s velocity at t= 4s is v= 2 cm/s Similarly at t= 7s, using straight line equation(y=mx+c), here v=mt-c Using slope,m= 1.33, c= 8 and t= 7s is v= -1.31 cm/s