A 2000-kg sailboat is traveling at 5.0 m/s in the x-direction when a strong wind begins...

  

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A 2000-kg sailboat is traveling at 5.0 m/s in the x-direction when a strong wind begins pushing on it at time 1= 0. The force exerted by the wind varies with time, and is given by: F(1) = (1600 – 400 t)î + (1200 t² - 300 t)j The wind lasts for four seconds (4.00 s). Part A: Find the total impulse delivered to the sailboat in 4.00 seconds. Express your answer in terms of magnitude and direction. Part B: Find the average force (magnitude and direction) exerted on the sailboat during the four-second time interval. Part C: Find the velocity of the sailboat (magnitude and direction) at the end of the four-second time interval. A 2000-kg sailboat is traveling at 5.0 m/s in the x-direction when a strong wind begins pushing on it at time 1= 0. The force exerted by the wind varies with time, and is given by: F(1) = (1600 – 400 t)î + (1200 t² - 300 t)j The wind lasts for four seconds (4.00 s). Part A: Find the total impulse delivered to the sailboat in 4.00 seconds. Express your answer in terms of magnitude and direction. Part B: Find the average force (magnitude and direction) exerted on the sailboat during the four-second time interval. Part C: Find the velocity of the sailboat (magnitude and direction) at the end of the four-second time interval.