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1. A particle of mass m and charge q is dropped from height of 3h above the ground. The particle starts from rest and its starting position is (x, y) (0,3h). At height 2h, the particle enters a uniform electric field of magnitude E pointing in the negative r direction. The magnitude of the force on the particle due to the electric field is qE. The particle exits the electric field at height h. A cup is placed at position Ie along the r-axis. In this problem, you will find the required electric field strength to ensure that the particle lands in the cup. (a) Determine the position and velocity of the particle when it reaches y much time the particle spends in the region 2h < y < 31. 2h. Determine how (b) Determine the position and velocity of the particle when it reaches y time the particle spends in the region h < y < 2h. h. Determine how much (c) Determine the position and velocity of the particle when it reaches y 0. Determine how muclh time the particle spends in the region 0 < y < h. (d) If the position of the cup is de, what is the value of E required to ensure that the particle lands in the cup? Give your answer in terms of m. 9. q. h, and e

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