Question
Asked Sep 20, 2019
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 A boat is cruising in a straight line at a constant speed of 2.6 m/s when it is shifted into neutral. After coasting 12 m the engine is engaged again, and the boat resumes cruising at the reduced constant speed of 1.6 m/s. Assuming constant acceleration while coasting, (a) how much time did it take for the boat to coast the 12 m? (b) What was the boat’s acceleration while it was coasting? (c) What was the speed of the boat when it had coasted for 6.0 m? Explain.

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Expert Answer

Step 1

Given:

Initial speed of the boat, u = 2.6 m/s

Final speed of the boat, v = 1.6 m/s

Distance travelled by the boat while coasting, s = 12 m

Step 2

(b) Calculating the acceleration of the boat while it was coasting:

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Using third equation of motion, v = u2 +2as Substitute, u 2.6 m/s, v = 1.6 m/s, s = 12 m (1.6(2.6)+2a(12) (1.6) -(2.6 a = 24 -0.175m/s

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Step 3

(a) Calculating the time taken b...

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Using the first equation of motion, v =u+at Substitute u 2.6 m/s, v = 1.6 m/s, and a = -0.175 m/s2 1.6 2.6+(-0.175) 2.6-1.6 0.175 t 5.7s

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Kinematics

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