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JEE Main 2008
Exam
JEE Main
Year
2008
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2008 · Physics · Motion in One Dimension

A body is at rest at x=0 . At t=0 , it starts moving in the...

A body is at rest at x=0x=0. At t=0t=0, it starts moving in the positive xx-direction with a constant acceleration. At the same instant another body passes through x=0x=0 moving in the positive xx direction with a constant speed. The position of the first body is given by x1(t)\mathrm{x}_1(\mathrm{t}) after time ' t\mathrm{t} ' and that of the second body by x2(t)x_2(t) after the same time interval. Which of the following graphs correctly describes (x1−x2)\left(x_1-x_2\right) as a function of time ' tt '?A body is at rest at x=0 . At t=0 , it starts moving in the positive x -direction with a constant acceleration. At theA body is at rest at x=0 . At t=0 , it starts moving in the positive x -direction with a constant acceleration. At theA body is at rest at x=0 . At t=0 , it starts moving in the positive x -direction with a constant acceleration. At theA body is at rest at x=0 . At t=0 , it starts moving in the positive x -direction with a constant acceleration. At the

Options

  1. AA student calculates the density of a cylindrical wire by measuring its mass, radius, and length. If the student
  2. BA student calculates the density of a cylindrical wire by measuring its mass, radius, and length. If the student
  3. CA student calculates the density of a cylindrical wire by measuring its mass, radius, and length. If the student
  4. DA student calculates the density of a cylindrical wire by measuring its mass, radius, and length. If the student

Correct answer

B. A student calculates the density of a cylindrical wire by measuring its mass, radius, and length. If the student

Step-by-step solution

x1(t)=12at2x2(t)=vtx1−x2=12at2−vt\begin{aligned}& x_1(t)=\frac{1}{2}a t² \\ & x_2(t)=v t \\ & x_1-x_2=\frac{1}{2}a t²-v t \end{aligned}
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