For a particle

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

For a particle, the displacement as a function of time is

x(t)=5\sqrt{t+4}\;\text{m}

, with

t

in seconds. Calculate its instantaneous velocity at

t=5\,\text{s}

(answer correct to two decimal places). (a)

0.17\,\text{m}\,\text{s}^{-1}

(b)

0.83\,\text{m}\,\text{s}^{-1}

(c)

1.12\,\text{m}\,\text{s}^{-1}

(d)

0.88\,\text{m}\,\text{s}^{-1}