# Bounce!

Classical Mechanics Level 3

A uniform electric field $$\vec{E}$$ exists at an angle $$\theta$$ with respect to the ground. A particle of mass $$m$$ and charge $$q$$ is projected from the ground along the direction of the electric field with an initial velocity $$\vec{v}$$.

If the coefficient of restitution between the particle and the ground is $$e$$, find the distance travelled by the particle between the first and second impacts with the ground.

Details & Assumptions:

1. $$|\vec{E}| = 15 NC^{-1}$$
2. $$\theta = 30^{\circ}$$
3. $$m = 3 kg$$
4. $$q = 2 C$$
5. $$|\vec{v}| = 20 ms^{-1}$$
6. $$e = 0.5$$

Assume the gravitational field is uniform. Take $$g = 10 ms^{-2}$$.

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