How to solve this physics (dynamics) problem? (Easy/Medium difficulty)?

Kevin Corpetti

New member
A charged particle is accelerated in the x-y plane by an electric field. The acceleration is constant 5.0mm/s^2 horizontally, and a constant 3.0mm/s^2 vertically. The velocity at 13.0 seconds is 52mm/s horizontally and 37mm/s vertically. Determine:

1. The velocity and position of the particle at zero time.
2. If there's a top plate 23.0mm from the x-axis (imagine it as a line in y=23), and the particle is 23.0mm from the top plate, find the time and position where it hits the plate.
3. The radius of curvature at t = 10.0 sec of the trajectory.

**No need to post the answer specifically. I just need an idea of how to start, and what to use. Topic is "Dynamics of Particles".

Thanks in advance!
The problem does not mention the starting position, but I'm going to assume is (0,0), because the problem features a small graph with only the I (first) quadrant values. Also, Part 3 asks for an evaluation at t=10, and with constant positive acceleration, it wouldn't be able to move backwards once it moves forward.
 
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