Question

71. While babysitting their younger brother, Chrisso and Devin are playing with toys. They notice that the squishy Piglet slows down in a repeatable way when they push it along the smooth wooden floor They propose a hypothesis that the toy slows down with a constant acceleration, which does not depend on the toy's initial velocity. For each of five different initial speeds, they measure the distance traveled by the toy from the time they stop pushing it to the time the toy stops moving, and they measure the corresponding time interval. Their data are presented below. Do the data support their hypothesis? Explain. If yes, determine the average acceleration of Piglet and the maximum speed with which Chrisso and Devin push Piglet Experiment # Distance (m) Time (s) 1 0.96 0.65 2 2.84 1.12 3 1.72 0.87 4 2.53 1.05 0.62 0.53

Answer 1

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yInterce ptB1*xA 1B2x^2 Equation 1.2 No Weighti Weight Residual 8.81782E 1.1 Sum of 0.99931 Adj. R-Squ Value Standard E 1.0 0.0 1609 Intercept 0.3026 0.3948 0.02262 81 count/min -0.038 B2 0.00844 0.9 0.8 0.7 0.6 0.5 3.0 1.0 1.5 2.0 2.5 0.5 time distance T

Yer it doer fHing the graph On find an equation al form 2. comparing it with -+ut +q 2 get accelerotion a 2b we an d here b o.398 and b2 hence o.395 m s and
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Answer 2

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