The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is

Question

The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is (A) increasing with time (B) decreasing with time (C) constant but not zero (D) zero

Tardigrade Admin · Accepted Answer

As x propto t3 Velocity, v propto 3t2 Acceleration, a propto 6t

Q. The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is

increasing with time

decreasing with time

constant but not zero

zero

As $x \propto t^{3}$
Velocity, $v \propto 3 t^{2}$
Acceleration, $a \propto 6 t$

Q. The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is

increasing with time

decreasing with time

constant but not zero

zero

As x∝t3 Velocity, v∝3t2 Acceleration, a∝6t

As $x \propto t^{3}$
Velocity, $v \propto 3 t^{2}$
Acceleration, $a \propto 6 t$