Question:

Two bodies begin to fall freely from the same height. The second one begins to fall $\tau$ s after the first. The time after which the 1st body begins to fall, the distance between the bodies equals to $l$ is

Updated On: Jul 7, 2022
  • $\frac{l}{g\tau}+\frac{\tau}{2}$
  • $\frac{g\tau}{l}+{\tau}$
  • $\frac{\tau}{l \,g}+\frac{2}{\tau}$
  • $\frac{g}{l\,\tau}+\frac{\tau}{2}$
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The Correct Option is A

Solution and Explanation

$S = ut + \frac{1}{2} at^2$
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Concepts Used:

Motion in a straight line

The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion. 

Types of Linear Motion:

Linear motion is also known as the Rectilinear Motion which are of two types:

  1. Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
  2. Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.