The velocity (in m/s) of a particle satisfies the implicit equation for

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The velocity

v

(in m/s) of a particle satisfies the implicit equation

v^{2}+3tv-t^{2}=0

for

t\ge 0

. Given that

v(1)=1

m/s, determine the particle’s acceleration at

t=1