The velocity of an object as a function of time is shown in Fig. P9.3. The acceleration is constant during the first 4 seconds of motion, so the velocity is a linear function of time with
(a) Estimate the total distance covered (the area, A) under the velocity curve using five rectangles of equal width
(b) Now estimate the total distance covered using 10 rectangles of equal width.
(c) Calculate the exact area under the velocity curve; i.e., Find the total distance traveled by evaluating the definite integral
(d) Calculate the exact area by adding the area of the triangle and the area of the rectangle hounded by the velocity curve.
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