The position x of a particle w.r.t. time t along x-axis is given by a `x = 9 t^(2)-t^(3)`, where x is in metre and t in sec. What will be the position of this particle when it achieves maximum speed along the +x direction ?

Options

A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for Statement-I
B. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for Statement-I
C. Statement-I is true, Statement-II is false
D. Statement-I is false, Statement-II is true.

Answer

A

Explanation

In air, the relative acceleration is zero. The relative velocity becomes constant which increases distance linearly which time.