If the velocity of a body related to displacement x is given by v=√5000+24 x m / s, then the acceleration of the body is ....... m / s 2.

Question

If the velocity of a body related to displacement x is given by v=√5000+24 x m / s, then the acceleration of the body is ....... m / s 2. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

V =√5000+24 x ( dV / dx )=(1/2 √5000+24 x ) × 24 =(12/√5000+24 x ) now a=V (d V/d x) =√5000+24 x × (12/√5000+24 x) a =12 m / s 2

Q. If the velocity of a body related to displacement $x$ is given by $v = 5000 + 24 x m / s$ , then the acceleration of the body is ....... $m / s^{2}$ .

$V = 5000 + 24 x$
$\frac{d V}{d x} = \frac{1}{2 5000 + 24 x} \times 24$
$= \frac{12}{5000 + 24 x}$
now $a = V \frac{d V}{d x}$
$= 5000 + 24 x \times \frac{12}{5000 + 24 x}$
$a = 12 m / s^{2}$

Q. If the velocity of a body related to displacement x is given by v=5000+24x​m/s, then the acceleration of the body is ....... m/s2.

V=5000+24x​ dxdV​=25000+24x​1​×24 =5000+24x​12​ now a=VdxdV​ =5000+24x​×5000+24x​12​ a=12m/s2

Q. If the velocity of a body related to displacement $x$ is given by $v = 5000 + 24 x m / s$ , then the acceleration of the body is ....... $m / s^{2}$ .

$V = 5000 + 24 x$
$\frac{d V}{d x} = \frac{1}{2 5000 + 24 x} \times 24$
$= \frac{12}{5000 + 24 x}$
now $a = V \frac{d V}{d x}$
$= 5000 + 24 x \times \frac{12}{5000 + 24 x}$
$a = 12 m / s^{2}$