The displacement (in metres) of a particle moving along a straight line at time…

MATHEMATICS · Multi-part · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The displacement

s

(in metres) of a particle moving along a straight line at time

t

seconds is given by

s = \ln(1+3t^{2})

. (a) Obtain an expression for the velocity

v(t)

of the particle. (b) Derive the expression for the acceleration

a(t)

. (c) Calculate the acceleration of the particle when

t = 1\,\text{s}