Q. A particle is moving along the curve $x = at^{2} + bt + c.$ If $ac = h^{2},$ then the particle would be moving with uniform

A) Rotation
B) Velocity
C) Acceleration
D) Retardation
Explanation

(c)
Given, $\ x = at^{2} + bt + c$
$\Rightarrow \ (speed)\frac{dx}{dt} = 2at + b$
$\Rightarrow \ \ (acceleration)\frac{d^{2}x}{dt^{2}} = 2a$
$\therefore\$The particle will moving with
Uniform acceleration.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.