Question

The displacement of a body along x-axis depends on time as $x=\sqrt{t+1}$. Then, the velocity of body

• A. increases with time
• B. decreases with time
• C. independent of time
• D. none of these

Answer 1

The correct option is B decreases with time

Given,

Displacement $x=\sqrt{t+1}$

Velocity $v=\frac{dx}{dt}=\frac{d\sqrt{t+1}}{dt}=\frac{1}{2\sqrt{t+1}}$

$v=\frac{1}{2\sqrt{t+1}}$

Hence, Velocity will decrease with time