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Why if the object moves as a projectile the X component of the velocity is constant and the Y component change at the same rate?
The 'x' component of the velocity is usually the label given to the horizontalcomponent. Also, remember, we generally ignore air-resistance in this typeof exercise. When we do that, there is no horizontal force on the object, sothe horizontal component of velocity can't change.The only force on the object is gravity, and that's completely vertical, so onlythe vertical component of velocity can change.
Why does the horizontal component of velocity for a projectile remain constant while the vertical component changes?
Since the velocity is constant due to the fact that there are no external forces acting in the horizontal direction, if you neglect air resistance, therefore, the horizontal velocity of a projectile is constant.
What is vertical velocity?
Vertical velocity is the rate of change of an object's position in the vertical direction per unit of time. It is the speed at which an object moves up or down relative to a reference point. Positive vertical velocity indicates upward movement, while negative vertical velocity indicates downward movement.
What are the two types of motion a projectile has?
If you throw ball at an angle above horizontal, you will see the path of the ball looks like an inverted parabola. This is result of the fact that the ball's initial velocity has a horizontal and vertical component. If we neglect the effect of air resistance, the horizontal component is constant. But the vertical component is always decreasing at the rate of 9.8 m/s each second. To illustrate this, let the initial velocity be 49 m/s and the initial angle be 30˚. Horizontal component = 49 * cos 30, Vertical = 49 * sin 30 = 24.5 m/s As the ball rises from the ground to its maximum height, its vertical velocity decreases from 24.5 m/s to 0 m/s. As the ball falls from its maximum height to the ground, its vertical velocity decreases from 0 m/s to -24.5 m/s. Since the distance it rises is equal to the distance it falls, the time that it is rising is equal to the time it is falling. This means the total time is equal to twice the time it is falling. This is the reason that the shape of the ball's path is an inverted parabola. At the maximum height, the ball is moving horizontally. If you do a web search for projectile motion, you will see graphs illustrating this.
What is the horizontal acceleration formula used to calculate the rate of change in velocity over time in a straight line motion?
The horizontal acceleration formula used to calculate the rate of change in velocity over time in straight line motion is: Acceleration (Change in Velocity) / Time
What is the difference between vertical acceleration and horizontal acceleration?
Vertical acceleration is the rate of change of velocity moving up or down, while horizontal acceleration is the rate of change of velocity moving left or right. Vertical acceleration is affected by gravity, while horizontal acceleration is typically due to external forces like friction or thrust.
Why if the object moves as a projectile the X component of the velocity is constant and the Y component change at the same rate?
The 'x' component of the velocity is usually the label given to the horizontalcomponent. Also, remember, we generally ignore air-resistance in this typeof exercise. When we do that, there is no horizontal force on the object, sothe horizontal component of velocity can't change.The only force on the object is gravity, and that's completely vertical, so onlythe vertical component of velocity can change.
Why does the horizontal component of velocity for a projectile remain constant while the vertical component changes?
Since the velocity is constant due to the fact that there are no external forces acting in the horizontal direction, if you neglect air resistance, therefore, the horizontal velocity of a projectile is constant.
What is vertical velocity?
Vertical velocity is the rate of change of an object's position in the vertical direction per unit of time. It is the speed at which an object moves up or down relative to a reference point. Positive vertical velocity indicates upward movement, while negative vertical velocity indicates downward movement.
What are the two types of motion a projectile has?
If you throw ball at an angle above horizontal, you will see the path of the ball looks like an inverted parabola. This is result of the fact that the ball's initial velocity has a horizontal and vertical component. If we neglect the effect of air resistance, the horizontal component is constant. But the vertical component is always decreasing at the rate of 9.8 m/s each second. To illustrate this, let the initial velocity be 49 m/s and the initial angle be 30˚. Horizontal component = 49 * cos 30, Vertical = 49 * sin 30 = 24.5 m/s As the ball rises from the ground to its maximum height, its vertical velocity decreases from 24.5 m/s to 0 m/s. As the ball falls from its maximum height to the ground, its vertical velocity decreases from 0 m/s to -24.5 m/s. Since the distance it rises is equal to the distance it falls, the time that it is rising is equal to the time it is falling. This means the total time is equal to twice the time it is falling. This is the reason that the shape of the ball's path is an inverted parabola. At the maximum height, the ball is moving horizontally. If you do a web search for projectile motion, you will see graphs illustrating this.
What happens to the gravitational energy of an object as it gets higher in a gravitational field?
-- If the velocity is horizontal, then gravitational potential energy doesn't change. -- If velocity is vertical and upward, gravitational potential energy increases at a rate proportional to the speed. -- If velocity is vertical and downward, gravitational potential energy decreases at a rate proportional to speed.
What is horizontal and vertical amplifier in cathode ray oscilloscope?
The horizontal and vertical amplifier in the cathode-ray oscilloscope are deflection plates. The horizontal amplifier causes the beam to be deflected horizontally at a rate that is uniform. The vertical amplifier causes the beam to deflect vertically.
What is the horizontal acceleration formula used to calculate the rate of change in velocity over time in a straight line motion?
The horizontal acceleration formula used to calculate the rate of change in velocity over time in straight line motion is: Acceleration (Change in Velocity) / Time
What does the slope mean on a line graph?
Rate of change of the "vertical" variable in relation to the "horizontal" variable.
When a stone is thrown upward at an angle what happens to the vertical component of its velocity as it rises and as it falls?
The vertical component of its velocity increases at the rate of 9.8 meters (32.2 feet) per second downward every second. Without involving numbers, simply the vertical component will first be upward at what ever velocity it is when split from the horizontal velocity, then (after reaching the peak of its height at which velocity is zero) it will be a downward vector that, yes, will increase with acceleration due to gravity (which is where the 9.8 meters per second squared came from)
When a body is projected simultaneously from the top of the building with different initial horizontal velocity which of the two will hit the ground first?
Ignoring air resistance, the horizontal component of velocity has no connection with, and no effect on, the vertical component. Two bodies that leave the top of the building simultaneously with the same vertical velocity hit the ground at the same time, regardless of their horizontal velocities or their masses. That's the same as saying that a bullet fired horizontally from a gun and a bullet or a stone dropped from the gun's muzzle at the same instant hit the ground at the same instant. Strange but true.
Do all lines have a slope?
Although all lines have the relationship that defines slope, one can argue that not all lines do have one. The exception would be vertical lines. Slope is defined as the vertical rate of change divided by the horizontal rate of change. In the case of a vertical line, there is no horizontal rate of change, and calculating slope would cause division by zero. The closest you could come to expressing the slope of a vertical line would be ∞
