Two objects move from the same point along a straight line

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Two objects move from the same point along a straight line. The first body moves with velocity

v = (3t^2 - 6t) \text{ m/s}

, the second with velocity

v = (10t + 20) \text{ m/s}

. At what instant and at what distance from the initial point will they meet.