Question:

A freely falling body takes 't' second to travel first $(1/x)^{th}$ distance. Then, time of descent is

Updated On: Jul 5, 2022
  • $\frac{t}{\sqrt{x}}$
  • $t\sqrt{x}$
  • $\frac{\sqrt{x}}{t}$
  • $\frac{1}{t\sqrt{x}}$
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The Correct Option is B

Solution and Explanation

$\frac{h}{x} = \frac{1}{2} gt^2 , h = \frac{1}{2} gt_d^2$
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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.