The velocity of a car was read from its speedometer at 10-second intervals and recorded in...

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The velocity of a car was read from its speedometer at 10-second intervals and recorded in the table. Use the midpoint rule to estimate the distance (in miles) traveled by the car. t(s) 0 10 20 30 40 50 60 70 80 90 100 v(mi/h) 029 44 50 56 65 69 51 55 47 40 Estimate = Hint 1: Take n = 5. Hint 2: Watch for the units of measurement. Suppose h is a function such that h(1) = 7, h' (1) = 4, h" (1) = 9, h(9) = 5, h' (9) = 13, h" (9) = 19, and h" is continuous everywhere. Then h" (u) du = The velocity function is v(t) = 4t 7 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [1,7]. Displacement = Distance traveled = The velocity of a car was read from its speedometer at 10-second intervals and recorded in the table. Use the midpoint rule to estimate the distance (in miles) traveled by the car. t(s) 0 10 20 30 40 50 60 70 80 90 100 v(mi/h) 029 44 50 56 65 69 51 55 47 40 Estimate = Hint 1: Take n = 5. Hint 2: Watch for the units of measurement. Suppose h is a function such that h(1) = 7, h' (1) = 4, h" (1) = 9, h(9) = 5, h' (9) = 13, h" (9) = 19, and h" is continuous everywhere. Then h" (u) du = The velocity function is v(t) = 4t 7 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [1,7]. Displacement = Distance traveled =