A sailboat is traveling east at 50 msA sudden gust of wind g

A sailboat is traveling east at 5.0 m/s.A sudden gust of wind gives the boat an acceleration a = (0.80 m/s^2,40 degree north of east). What is the boat\'s speed 8.9 s later when the gust subsides? Express your answer using the appropriate number of significant figures and include the appropriate units. What is the boat\'s direction 8.9 s later when the gust subsides? Express your answer using the appropriate number of significant figures and include the appropriate units.

Solution

V_east= u + a * t = u + 0.8 * cos 40 * 8.9 = u + 5.45 m/s

5.45 m/s + 5 m/s = 10.45 m/s

V_north = 0.8 * sin 40 * 8.9 = 4.58 m/s

v = sqrt [(V_east² + V_north² ]

v = sqrt [(10.45² + 4.58² ]= 11.41 m/s

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direction theta = arctan (4.58 / 10.45)

= 23.65 deg