A particle is moving with constant acceleration 'a'. Following graph shows v2 versus x (displacement) plot. The acceleration of the particle is m / s 2.

Question

A particle is moving with constant acceleration 'a'. Following graph shows v2 versus x (displacement) plot. The acceleration of the particle is m / s 2. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

y=m x+C v2=(20/10) x+20 v2=2 x+20 2 v (d v/d x)=2 ∴ a=v (d v/d x)=1

Q. A particle is moving with constant acceleration $^{'} a^{'}$ . Following graph shows $v^{2}$ versus $x$ (displacement) plot. The acceleration of the particle is _____ $m / s^{2}$ .

$y = m x + C$
$v^{2} = \frac{20}{10} x + 20$
$v^{2} = 2 x + 20$
$2 v \frac{d v}{d x} = 2$
$∴ a = v \frac{d v}{d x} = 1$

Q. A particle is moving with constant acceleration ′a′. Following graph shows v2 versus x (displacement) plot. The acceleration of the particle is _____m/s2.

y=mx+C v2=1020​x+20 v2=2x+20 2vdxdv​=2 ∴a=vdxdv​=1

Q. A particle is moving with constant acceleration $^{'} a^{'}$ . Following graph shows $v^{2}$ versus $x$ (displacement) plot. The acceleration of the particle is _____ $m / s^{2}$ .

$y = m x + C$
$v^{2} = \frac{20}{10} x + 20$
$v^{2} = 2 x + 20$
$2 v \frac{d v}{d x} = 2$
$∴ a = v \frac{d v}{d x} = 1$