Question

The displacement of a body along y-axis is given by, $2y=g{t}^2$ ($g$ is a constant & $t$ is the time taken). What will be the acceleration of the body along y-axis at any time t ?

• A. $g$
• B. $\frac{1}{2}gt$
• C. $2g$
• D. None of these

Answer 1

The correct option is A $g$

Displacement $\left(y\right)=\frac{1}{2}g{t}^2$

Velocity $\left(v_y\right)=\frac{dy}{dt}=gt$

Acceleration $\left(a_y\right)=\frac{d{v}_y}{dt}=g$ (OptionA)