Question

If an object coveres distances directly proportional to the square of the time lapsed, then the acceleration is

• A. Increasing
• B. Decreasing
• C. Constant
• D. None of these

Answer 1

The correct option is C Constant

From the question,

Distance, $x\propto t^2$

therefore, $x=c{t}^2$
velocity $=\frac{dx}{dt}=2ct$
Acceleration$=\frac{dv}{dt}=2c$
Therefore, acceleration is constant.