Question:

A particle is thrown vertically upward. Its velocity at half of the height is 10 m/s. Then the maximum height attained by it (g = 10 m/s^2 )

Updated On: Jun 28, 2024
  • 8m
  • 20m
  • 10m
  • 16m
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The Correct Option is C

Solution and Explanation

The correct option is(C): 10m v^2=u^2-2gs=(10)^2-2gh/2=u^2-gh....(1) 0=u^2-2gh=u^2=2gh putting values of u^2 in(1) 100=2gH-gH=gH H=100/g=100/10= 10 m.
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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.