A test car travels in a straight line along the x- axis. The graph in ?Fig. E2.11 shows the car’s position x as a function of time. Find its instantaneous velocity at points A through G.

Answer: Step 1: We can calculate the instantaneous velocity at any point is the slope of the tangent line to the graph at that point. For the Fig. E2.11 Step2 : Portion of the curve on which A and B lies appears to be approximately a line segment. So, we can find the slope of line. Which give the instantaneous velocity at the point Step 3: Calculating the instantaneous velocity of point “A” and “B” From the graph ; Slope of the graph = rise /run = 15/ 2.1= 7.1 m/s ( instantaneous velocity)