Acceleration of a particle is defined as a=(75 V 2-30 V +. 3) m / s 2, where V is the velocity. Find the constant speed (in m / s ) achieved by the particle.

Question

Acceleration of a particle is defined as a=(75 V 2-30 V +. 3) m / s 2, where V is the velocity. Find the constant speed (in m / s ) achieved by the particle. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

a=0 ⇒ 3(5 V-1)2=0 V=(1/5) m / s

Q. Acceleration of a particle is defined as $a = (75 V^{2} - 30 V + 3) m / s^{2}$ , where $V$ is the velocity. Find the constant speed (in $m / s)$ achieved by the particle.

$a = 0$
$\Rightarrow 3 (5 V - 1)^{2} = 0$
$V = \frac{1}{5} m / s$

Q. Acceleration of a particle is defined as a=(75V2−30V+3)m/s2, where V is the velocity. Find the constant speed (in m/s) achieved by the particle.

a=0 ⇒3(5V−1)2=0 V=51​m/s

Q. Acceleration of a particle is defined as $a = (75 V^{2} - 30 V + 3) m / s^{2}$ , where $V$ is the velocity. Find the constant speed (in $m / s)$ achieved by the particle.

$a = 0$
$\Rightarrow 3 (5 V - 1)^{2} = 0$
$V = \frac{1}{5} m / s$