Typically, we define the positive vertical direction as upwards, and the positive horizontal direction is usually the direction of the object’s motion.
Q. What is the formula of horizontal range?
In the horizontal direction, the object travels at a constant speed v0 during the flight. The range R (in the horizontal direction) is given as: R=v0⋅T=v0√2Hg R = v 0 ⋅ T = v 0 2 H g .
Table of Contents
- Q. What is the formula of horizontal range?
- Q. How do you find initial vertical and horizontal velocity?
- Q. Why is horizontal and vertical motion independent?
- Q. What are the two-dimensional motion?
- Q. What effect does gravity have on an object’s vertical motion?
- Q. Does gravity affect initial velocity?
- Q. Is there a vertical velocity at the top of the trajectory?
- Q. How do you calculate trajectory?
- Q. How does horizontal velocity affect range?
- Q. Is vertical distance affected by horizontal velocity?
Q. How do you find initial vertical and horizontal velocity?
Projectile motion equations
- Horizontal velocity component: Vx = V * cos(α)
- Vertical velocity component: Vy = V * sin(α)
- Time of flight: t = 2 * Vy / g.
- Range of the projectile: R = 2 * Vx * Vy / g.
- Maximum height: hmax = Vy² / (2 * g)
Q. Why is horizontal and vertical motion independent?
The vertical force acts perpendicular to the horizontal motion and will not affect it since perpendicular components of motion are independent of each other. Thus, the projectile travels with a constant horizontal velocity and a downward vertical acceleration.
Q. What are the two-dimensional motion?
Two-dimensional motion is the study of movement in two directions, including the study of motion along a curved path, such as projectile and circular motion.
Q. What effect does gravity have on an object’s vertical motion?
Gravity acts to influence the vertical motion of the projectile, thus causing a vertical acceleration. The horizontal motion of the projectile is the result of the tendency of any object in motion to remain in motion at constant velocity.
Q. Does gravity affect initial velocity?
Applied to motion projected at an angle The vertical component of the velocity is in the same plane at gravity and is thus affected by gravity. The vertical component of the initial velocity, −vy, acts only on the velocity toward the Earth, as seen in Velocity Equations for Objects Projected Upward.
Q. Is there a vertical velocity at the top of the trajectory?
FALSE – The vertical velocity of a projectile is 0 m/s at the peak of its trajectory; but the horizontal component of the velocity at the peak is whatever the value was when first launched.
Q. How do you calculate trajectory?
Trajectory formula
- x = Vx * t.
- y = h + Vy * t – g * t² / 2.
Q. How does horizontal velocity affect range?
Horizontal component (Vh) has certain velocity or magnitude. Horizontal component (Vh) remains constant throughout flight, neglecting air resistance. Horizontal velocity influences range, but not time object in air.
Q. Is vertical distance affected by horizontal velocity?
THE HORIZONTAL VELOCITY DOES NOT AFFECT THE VERTICAL MOTION. THE VERTICAL FALL TIME IS THE SAME AS LONG AS THE BALLS DROP SIMULTANEOUSLY FROM THE SAME HEIGHT.
