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Acceleration of particle moving along th...

Acceleration of particle moving along the x-axis varies according to the law `a=-2v`, where a is in `m//s^(2)` and v is in `m//s`. At the instant `t=0`, the particle passes the origin with a velocity of `2 m//s` moving in the positive x-direction.
(a) Find its velocity v as function of time t.
(b) Find its position x as function of time t.
(c) Find its velocity v as function of its position coordinates.
(d) find the maximum distance it can go away from the origin.
(e) Will it reach the above-mentioned maximum distance?

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