What Is The Connection Between The X And Y Motions Of A Projectile?

by | Last updated on January 24, 2024

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The trajectory of a projectile depends on motion in two dimensions. The x component is the horizontal motion of the projectile, and the

y component is the vertical motion of the projectile

. The units to express the horizontal and vertical distances are meters (m).

How is projectile motion similar to motion in the X direction?

while vertical motion has constant acceleration. This means for projectile motion,

the starting velocity in the x-direction will be the same as the final velocity in the x-direction

, while the starting and ending velocities in the y-direction will be different because of acceleration due to gravity.

What is the relationship of projectile motion?

Projectile motion is when

an object moves in a bilaterally symmetrical, parabolic path

. The path that the object follows is called its trajectory. Projectile motion only occurs when there is one force applied at the beginning, after which the only influence on the trajectory is that of gravity.

What variables are the same in the X and Y axis for a projectile?

Solving problems in projectile motion is simply a matter of taking the appropriate quantities and solving for motion in the x axis and the y axis separately.

The element that ties the two directions together is time

; it is the same for both axes.

What equations are used to determine the x and y components of a projectile?

The trajectory has horizontal (x) and vertical (y) components. Velocity is a vector (it has magnitude and direction), so the overall velocity of an object can be found with vector addition of the x and y components:

v

2

= v

x


2

+ v

y


2


. The units to express the horizontal and vertical distances are meters (m).

What are the 2 types of projectile motion?

Many projectiles not only undergo a vertical motion, but also undergo a horizontal motion. That is, as they move upward or downward they are also moving horizontally. There are the two components of the projectile’s motion –

horizontal and vertical motion

.

How is projectile motion used in real life?

In real life, the projectile motion

finds applications in sports

. Playing basketball, football is examples of projectile motion in real life. While throwing a basketball into the basket, the player shoots the ball in such a way that the flight taken by the ball is in the form of a parabola.

Why is time the same in projectile motion?

Objects experiencing projectile motion have a constant velocity in the horizontal direction, and a constantly changing velocity in the vertical direction. … The time required for initially horizontal projectile motion to occur is the

same as the time required for the object to fall to its final height

.

Is motion where the speed and direction do not change?


constant velocity

: Motion that does not change in speed nor direction.

What is the path of projectile in the absence of friction )?

The

path

that the

projectile

follows is a parabola… If there is no force acting on an object, then it will continue moving at a constant speed in the same direction.

How do you find the y component of acceleration?

The components of the acceleration are found by referring to the

coordinate system

in Figure 4.3. 2. Then, by inserting the components of the initial position and velocity into the motion equations, we can solve for her position and velocity at a later time t. ay=(−2.1m/s2)sin(15o)=−0.54m/s2.

Which coordinate is horizontal?

The grid is often called the rectangular coordinate system, or Cartesian coordinate system after its inventor. The rectangular coordinate system is formed by two intersecting perpendicular number lines. The horizontal number line is called

the x-axis

and the vertical number line is called the y-axis.

What is horizontal motion?

Horizontal motion is defined as

a projectile motion in a horizontal plane depending upon the force acting on it

. … To obtain a horizontal motion, a projectile must be launched in a straight line, and not at any angle.

What are x and y components of velocity?

The horizontal velocity component (v

x

) describes the influence of the velocity in displacing the projectile horizontally. The

vertical velocity component (v

y

) describes the influence of

the velocity in displacing the projectile vertically.

How do you calculate trajectory?

  1. x = Vx * t.
  2. y = h + Vy * t – g * t2 / 2.

How do you find the x component of projectile motion?

Projectile Motion. Thus, the x component of the velocity remains constant at its initial value or

v

x

= v

0 x


, and the x component of the acceleration is a

x

= 0 m/s

2

. In the vertical or y direction, however, the projectile experiences the effect of gravity.

David Evans
Author
David Evans
David is a seasoned automotive enthusiast. He is a graduate of Mechanical Engineering and has a passion for all things related to cars and vehicles. With his extensive knowledge of cars and other vehicles, David is an authority in the industry.