The position of a racing car, which starts from rest at t = 0 and moves in a str

Question

The position of a racing car, which starts from rest at t = 0 and moves in a straight line, is given as a function of time in the following table.
Estimate (a) its velocity and (b) its acceleration for the times and distances given in the table below. Display each in the spaces provided. (Report all answers to two decimal places.) a(m/s2) t(s)X(m)V(m/s) 0.0 0.250.11 0.500.46 0.75 1.06 1.001.94 1.504.62 2.008.55 2.5013.79 10.48 3.00 20.36 13.14 3.5028.31 15.9 4.0037.65 18.68 4.5048.37 21.44 5.0060.30 23.86 5.5073.26 25.92 6.0087.1627.80 0.00 0.44 1.40 2.40 3.52 5.36 7·86 0.0 3.52 3.84 4.00 4.48 4.91 5.00 5.24 5.32 5.52 5.36 4.84 4.12 3.76 0

Explanation / Answer

A) accelerations in wrong boxes.

a1 = 0.44/0.25 = 1.76

a2 = (1.40-0.44)/0.25 = 3.84

a3 = (2.4-1.4)/0.25 = 4

a4 = (3.52 - 2.4)/0.25 = 4.48

a6 = (7.86-5.36)/0.5 = 5

a8 = (13.14-10.48)/0.5 = 5.32

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