A particle moves frictionlessly along a horizontal line so that its acceleration satisfies

MATHEMATICS · Subjective · A Level · Mathematics · Kinematics · Kinematics

Problem

A particle moves frictionlessly along a horizontal line so that its acceleration satisfies a=−4xa=-4x, where xx is its displacement in meters. When the particle is at x=3x=3 m, its speed is 22 m/s. Determine its speed when it reaches x=1x=1 m.

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