Problem Solving 3.104 Part A A fishing boat leaves a marina with a constant spee

Question

Problem Solving 3.104 Part A A fishing boat leaves a marina with a constant speed of 3.4 m/s A speedboat leaves the marina 12 s later with an initial speed of 2.8 m/s and an acceleration of 1.7 m/s2Let the tie the speedboat leaves the marina be t = 0 and let the direction of travel of both boats be the positive direction. Write position-time equations for fishing boat. Express your answer in terms of t rf, fishing = Submit My Answers Give Up Part B Write position-time equations for speedboat. Express your answer in terms of t Submit My Answers Give Up Part C When does the speedboat catch up with the fishing boat? Express your answer to two significant figures and include the appropriate units. tValue Units Submit My Answers Give Up

Explanation / Answer

a) s(t) = velocity*time

s(t) = 3.4*(t+12) = 3.4t+40.8

b) s(t) = ut+1/2at^2

s(t) = 2.8*t+1/2*1.7*t^2 = 2.8t+0.85t^2

c) 3.4t+40.8 = 2.8t+0.85t^2

0.85t^2-0.6t-40.8 = 0

solve for t

t = 7.29 sec

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