Atest car travels in a straight line along the x-axis. the graph in the figure shows the car’s position x as the function of time. find it’s instantaneous velocity at point b.

Velocity is defined as the change in position per unit time, which is literally the slope of the position vs time graph. Thus, the instantaneous velocity at point B is the slope of the graph at point B, which is approximately

(40m - 20m) / (3s - 0s)

= 6.67 m/s.

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