A particle moves along a line with velocity and acceleration

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A particle moves along a line with velocity

v(t)=2t-5\text{ m/s}

and acceleration

a(t)=2\text{ m/s}^2

. Determine whether the particle’s speed is increasing or decreasing at

t=1\text{ s}

, and justify your answer using the signs of

v

and

a