Question

1. The following data set was taken from the motion of an object. The object started with an initial velocity and accelerated uniformly. The instantaneous velocity of the object was measured for 15 different values of the time. t (sec) v(m/s) 1.20 1.40 1.60 1.80 2.00 t (sec) 2.20 2.40 2.60 2.80 3.00 v (m/s) 1.62 1.74 1.86 1.98 2.10 t (sec) v (m/s) 0.200 0.420 0.4000.540 0.6000.660 0.8000.780 1.0000.900 1.02 1.14 1.26 1.38 1.50 a). Using the graph paper provided, plot the data points of time (t) and velocity ( v). Draw a best - fitting line through the data points. Selecting two appropriate points on the best-fitting line, graphically determine the slope of the straight line. Show your work. b). After performing a linear regression analysis of the data and find a regression equation in the form of actual equation:V- vo + ace t.

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Time(s) Velocity(m/s) 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 0.42 0.54 0.66 0.78 0.9 1.02 1.14 1.26 1.38 1.5 1.62 1.74 1.86 1.98 2.1 velocity-time graph 2.5 1.74 162 17, 18 1.98 2 1.62 04 0.54 0.66 078 09 02114261.38 5 0.42 E 1.5 1.02 0.78 0.5 0s 0 0 0 0.5 1.5 2.5 3.5 Time(s)

Slope of graph is acceleration: Consider any two points.

a = (1.26-0.900)m/s/(1.6-1.0)s = 0.6 m/s2

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