Question: The acceleration of a particle is defined by the relation a = kv2, where a is expressed in m/s2 and v in m/s. The particle

The acceleration of a particle is defined by the relation a = –kv2, where a is expressed in m/s2 and v in m/s. The particle starts at x = 0 with a velocity of 9 m/s and when x = 13 m the velocity is found to be 7 m/s. Determine the distance the particle will travel

(a) Before its velocity drops to 3 m/s,

(b) Before it comes to rest.

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