The position of a particle moving in one dimension is given by

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The position of a particle moving in one dimension is given by x=4t2+3tx = 4t^{2}+3t, where xx is in meters and tt is in seconds. Using the average velocity over the interval from 4.00 s4.00\,\text{s} to 4.01 s4.01\,\text{s}, what is the approximate velocity of the particle at t=4.00 st = 4.00\,\text{s}? (a) 36 m/s36\,\text{m/s} (b) 32 m/s32\,\text{m/s} (c) 35 m/s35\,\text{m/s} (d) 38 m/s38\,\text{m/s}

Related theory

Browse the problem library