Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AIIMS 2015
Exam
AIIMS
Year
2015
Subject
Physics
Chapter
Motion in One Dimension

AIIMS 2015 · Physics · Motion in One Dimension

The displacement of a body is given to be proportional to the cube...

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 proportional to

Options

  1. At\sqrt{t}
  2. Btt
  3. Ct2t^2
  4. Dt3/2t^{3 / 2}

Correct answer

B. tt

Step-by-step solution

Here, s∝t3s \propto t^3 or s=kt3s=k t^3 velocity, v=dsdt=ddt(kt3)=3kt2v=\frac{d s}{d t}=\frac{d}{d t}\left(k t^3\right)=3 k t^2 Acceleration, a=dvdt=ddt(3kt2)=6kta=\frac{d v}{d t}=\frac{d}{d t}\left(3 k t^2\right)=6 k t ∴a∝t\therefore a \propto t
Practice Motion in One Dimension on Quantrex Academy →

More from Motion in One Dimension

A vehicle runs on a straight road of length 'L'. It travels half the distance with speed… MHT CET Medical 2026For uniform acceleration in linear motion which of the following is NOT CORRECT ? MHT CET Medical 2026Two cars, P and Q move toward each other, getting 8\ m closer every second. If they move… MHT CET Medical 2026A block is kept on the floor of an elevator at rest. The elevator starts descending with… MHT CET Medical 2026The acceleration (a ) -time (t ) graph for the body starting from rest is as shown in the… MHT CET Medical 2026A train accelerates from rest at a constant rate 'p' for some time (attains velocity 'v')… MHT CET Medical 2026The following plots show variation of velocity ( v ) with time ( t ), of a ball thrown… NEET 2026Consider a particle moving along a straight line, whose position as a function of time is… NEET 2026 Full Motion in One Dimension list All AIIMS PYQs