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At t 0, one toy car is set rolling on a straight track with initial position 14.5 cm, initial velocity -4.2 cm/s, and constan

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Answer #1

(a) as the second car has constant speed

we have

-4.2 + 2.70t = 5.60

t = 3.629 sec

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(b) both will have same speed

5.60 cm/s

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(c) equation for positions is given a

x1 = 14.5 - 4.2t + 1.35*t2

x2 = 9.5 + 5.6t

set x1 = x2

14.5 - 4.2t + 1.35*t2 = 9.5 + 5.6t

1.35t2 - 9.8t + 5 = 0

solve for t

we get

t = 9.8 +/- 8.31 / 2.7

t = 6.71 sec and t = 0.5518 sec

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(d) locations where they pass one another

we get

x1 = 9.5 + 5.6t = 12.6 cm

x2 = 9.5 + 5.6t = 47.1 cm

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