1. Tardigrade
  2. Question
  3. Physics
  4. A body is at rest at x=0. At t=0, it starts moving in the positive x -direction with a constant acceleration. At the same instant another body passes through x=0 moving in the positive x - direction with a constant speed. The position of the first body is given by x1(t) after 't' and that of the second body by x2(t) after the same time interval. Which of the following graphs correctly describes (x1-x2) as a function of time 't'?

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Q. A body is at rest at $x=0$. At $t=0$, it starts moving in the positive $x$ -direction with a constant acceleration. At the same instant another body passes through $x=0$ moving in the positive $x$ - direction with a constant speed. The position of the first body is given by $x_{1}(t) $ after 't' and that of the second body by $x_{2}(t)$ after the same time interval. Which of the following graphs correctly describes $\left(x_{1}-x_{2}\right)$ as a function of time 't'?

Motion in a Straight Line

Solution:

At $t=0$ the first body starts moving with constant acceleration while the second body is already moving with certain constant speed. So the distance covered by the first body $x$, is smaller that covered by the second body $x_{2}$, i.e., $x_{1}<\,x_{2}$ or $x_{1}-x_{2}=$ negative till the first body attains the speed equal to that of second body. At that instant $x_{1}=x_{2}$ or $x_{1}-x_{2}=0$ and after that $x_{1}>x_{2}$ i.e. $-x_{2}=$ positive and goes on increasing with increasing