How To Find Horizontal Displacement: Different Aspects, Problems


As we have studied displacement. There are two types of displacement; horizontal displacement and vertical displacement. In this article, we will discuss what is horizontal displacement and how to find Horizontal displacement.

When an object is shot diagonally near the earth’s face, it travels at a steady speed across a curving route that leads to the earth’s center. Horizontal shot motion is the name given to this type of object motion, with shot referring to the particle’s route.

When the object is moving along the x-axis, displacement in the x-direction is horizontal displacement. The horizontal displacement induced by the object’s shot velocity is calculated by  

ΔX=v0Xt

Where ΔX is horizontal displacement   

v0 is velocity of object  

t is time of flight  

The motion is termed vertical projectile motion when the particle travels at a constant rate when the particle is moving across the y-axis. 

 

How to find horizontal displacement of a projectile?

Horizontal displacement by an object that is fired in the x-direction can be calculated if we know the initial velocity and the time of flight of the object.

If we put the respective values of initial velocity and time of flight in the given formula;   

ΔX=v0Xt

Horizontal displacement formula  

ΔX=v0Xt

Where ΔX is horizontal displacement   

v0 is velocity of object  

t is time of flight  

How to calculate total horizontal displacement ?

We need to know the final and initial velocity of fired object in order to find total horizontal displacement.

We can calculate total horizontal displacement by using time of flight and initial and final velocity of an object that is fired in the x-direction and putting those values in the given formula,   

s=ut+(1/2)at2

Distance and displacement 

We generally think distance and displacement as same quantity but both these notions used for different meanings. Let’s take a closer look at the distinction between distance and displacement. 

Distance  

We can define distance as the amount of area covered by an item, regardless of its beginning or finishing position.  

“Distance is total path or route followed by some entity.”  

Displacement   

An arrow is used to indicate the direction of some entity from starting point to final point. The location of an object changes as it travels from position A to position B, for example. Distinction between distance and displacement .

“Displacement is shortest or minimum length between starting coordinates and final coordinates of an object.”  

Distinction between distance and displacement

S. No.Distance  Displacement   
1.The entire length of a route travelled by an entity is called distance.Displacement is the smallest distance between an entity’s originating and final coordinates. 
2.It is represented by “d”.It is represented by “s”.  
3.It just contains magnitude not direction.It contains a magnitude as well as a direction. 
4.It’s a scalar value, after all.It’s a variable with a vector.  
5.A distance may be used to get some basic data concerning an object’s route from one location to another.Since we know that displacement is concerned about only starting point coordinates and ending point coordinates so it cannot give the data about route that an entity followed from starting point to reach the end.
6.Speed*time  Velocity*time   
7.Only positive values are possible for distance.  Displacement can be negative, zero, or positive.  
8.It is not represented with an arrow.Displacement is represented b with an arrow to indicate direction.  
9.The distance can be calculated along a non-straight-line path.  Measurement of displacement needs straight line path.  

Problems

Problem 1  

Measure the value of an object’s horizontal displacement in a projectile motion with a constant velocity of 30m/s and a flight period of 60 seconds.

Solution  

Given;  

Velocity of object = 30m/s

Time of flight = 60s

We can calculate horizontal displacement by putting the given values in the displacement formula.  

Formula given for horizontal displacement of projectile motion   

ΔX=v0Xt

ΔX=30*60=1800m

Problem 2

Find the horizontal displacement of an object that is fired with a velocity of 15 m/s for 30 seconds.  

Solution

Given;

Velocity of particle= 15m/s

Time of flight =30s

We can calculate horizontal displacement by putting the given values in the displacement formula.  

Formula given for horizontal displacement of projectile motion.

ΔX=v0Xt

ΔX=15*30=450m

Problem 3

Find total displacement by an object which was fired with a velocity of 30m/s. After 60 seconds of flight, that object hits the ground with a velocity of 30m/s. 

Solution

Given;

Initial velocity of object= 15m/s

Final velocity of object= 30m/s

Time of flight= 60 seconds  

We can calculate total horizontal displacement by putting the given values in the total displacement formula.  

Formula for total horizontal displacement is  

Frequently asked questions |FAQs  

Q. What is a projectile’s overall horizontal displacement?  

The reach of the projectile is the horizontal displacement of the projectile and is determined by the object’s preliminary velocity. If a projectile is fired at the same starting velocity but from two complementary degrees of projection, its range will be equal.  

Q. Is the horizontal displacement of a projectile constant?  

When the bullet’s horizontal length travelled per second remains steady: the bullet moves 20 metres per second since there is no horizontal acceleration, As a result, the horizontal displacement is 10 meters in one second, 20 meters in two seconds, 30 meters in three seconds, and so on.  

Q. What is the terminology for a projectile’s horizontal displacement?  

The reach of the projectile is the horizontal displacement of the projectile, and it is determined by the object’s initial velocity.  

SAKSHI KM

I am Sakshi Sharma, I have completed my post-graduation in applied physics. I like to explore in different areas and article writing is one of them. In my articles, I try to present physics in most understanding manner for the readers.

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