Question

The velocity v and displacement r of a body are
related as v2 = kr, where k is a constant. What
will be the velocity after 1 second? (Given that the displacement is zero at t=0)​

Answer 1

Answer:

$\huge\underline{\mathcal Answer}$

$\large{\mathcal v =2r}$

Diff. it w.r.t t :-

$\large{\mathcal {v}^{2}=kr}$

$\large{\mathcal 2va = kv}$

$\large{\mathcal k=2a}$

$\large{\mathcal "a"\:is\:acceleration}$

$\large{\mathcal {v}^{2}-{u}^{2}=2as}$

$\large{\mathcal {v}^{2}=2ar}$

$\large{\mathcal r={\frac{1}{2}a{t}^{2}}}$

Substitute :-

$\huge{\mathcal {v}^{2}=2ar}$

$\huge{\mathcal {v}^{2}={\frac{4r^2}{{t}^{2}}}}$

$\huge\orange{\mathcal Hope\:it\:helps!!!}$