For a certain particle

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

For a certain particle, the velocity

v

(in meters per second) and time

t

(in seconds) satisfy the relation

v^{2}+tv=6

, where

v>0

. What is the particle’s instantaneous acceleration at

t=1\text{ s}

? (a)

-\dfrac{3}{7}\text{ m/s}^2

(b)

\dfrac{2}{5}\text{ m/s}^2

(c)

-\dfrac{1}{2}\text{ m/s}^2

(d)

-\dfrac{2}{5}\text{ m/s}^2