Question:
A particle (A) is dropped from a height and another particle (B) is projected in horizontal direction with speed of 5 m/s from the same height then correct statement is :
A particle (A) is dropped from a height and another particle (B) is projected in horizontal direction with speed of 5 m/s from the same height then correct statement is :
Updated On: Apr 21, 2025
Particle (A) will reach at ground first with respect to particle (B)
Particle (B) will reach at ground first with respect to particle (A)
Both particles will reach at ground simultaneously
Both particles will reach at ground with same speed
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The Correct Option is C
Solution and Explanation
The correct option is (C): Both particles will reach at ground simultaneously
For particle (A)
h = \(\frac{1}{2}gt^2\)
tA = \(\sqrt{\frac{2h}{g}}\)
For particle (B) In the vertical direction
Use s = ut + \(\frac{1}{2}at^2\)
\(\Rightarrow\) h = \(\frac{1}{2}gt_B^2\)
\(\Rightarrow\)\(t_B\) =\(\sqrt{\frac{2h}{g}}\)
For particle (A)
h = \(\frac{1}{2}gt^2\)
tA = \(\sqrt{\frac{2h}{g}}\)
For particle (B) In the vertical direction
Use s = ut + \(\frac{1}{2}at^2\)
\(\Rightarrow\) h = \(\frac{1}{2}gt_B^2\)
\(\Rightarrow\)\(t_B\) =\(\sqrt{\frac{2h}{g}}\)
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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:
- 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.
- 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.