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Question 1 (2 points) A particle undergoes motion in an xy plane (2-d motion). The position vector r as a function of time is given

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Question 1 (2 points) A particle undergoes motion in an xy plane (2-d motion). The position vector r as a function of time is given as: r = (3t2 5t +3)i + (2t3 -10)j. Determine the magnitude of the instantaneous acceleration (in cm/s2) at t=0.50 5. Assume units are in centimeters and seconds. Give answer to two places to the right of the decimal. Your Answer: Answer Question 2 (2 points) A physics student sits in the window of a tall dorm, 15.0 m above the ground, and throws a water-balloon towards his professor who is standing on the ground below, and 7.50 m away from the bottom edge of the building. The student launches the balloon at an angle of 50.0 degrees below the horizontal at a speed of 7.00 m/s. How far (m) from the bottom edge of the building does the balloon hit? (carry numbers out to 4 decimal places during your calculations). Give answer to tenths decimal place. 15m ' I I I I I I 40')? I I I I I I l Ii horizontal Question 3 (2 points) A ball undergoes projectile motion by propelling it with a speed of 9.00 m/s from a spring launcher at an angle of 30 above a horizontal floor. At what xposition (in meters) from its start does the ball reach its maximum height? 30 horizontal Question 4 (2 points) A particle moves in a circle of radius 3.00 m at a constant speed of 2.50 m/s. Determine the acceleration (m/s2) magnitude experienced by the particle at Point P. P VThe x-y graph shown below is describing a toy car moving in an xy plane. (the car is moving on the path from left to right). For which point or points is the velocity directed in the first angular quadrant and the acceleration directed in the second? A 20 E =65 I: 0 10 all 4.) W! In 0 a. o I >1 30 x-position (cm) -10 A tA=ls if\") A : I B | i C r \\ D | \\ If

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