# Question 9 25 points a snowball with mass 0 4 kg is

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Question 9 (25 points) . A snowball with mass 0 . 4 kg is thrown northward into the air with a speed of 20 m/s at an angle of 45 from the ground. A wind applies a steady force of 4 N to the ball in a westerly direction. The magnitude of the acceleration due to gravity is given by 10 m/s 2 . (a) (8 points) Find the ball’s acceleration and initial velocity vectors. Hint: You may find it convenient to set up a three-dimensional coordinate system with the x -axis pointing east and the y -axis pointing north.
(b) (12 points) Find parametric equations for the line tangent to the path of the ball when it reaches the highest point.
Math 230 Final Exam Solutions Winter Quarter 2014 Page 16 of 16 (c) (4 points) Find the tangential component of the ball’s acceleration at the highest point, that is, find the component of the acceleration vector along the tangent vector you computed in part (b).
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