What are Some Oblique Exercises?

definition:

The object shoots out obliquely at a certain initial velocity. When the air resistance is negligible, this type of motion is called oblique throw motion. The object moves in a uniformly variable curve, and its trajectory is a parabola.

Chinese name: Oblique motion
Features: The trajectory of the oblique throw motion is a parabola

Classification: Oblique upward throw oblique downward throw
Three elements: Range, height and time of flight

Explanation of oblique throw motion

According to the principle of motion independence, oblique throw motion can be regarded as the combined motion of a constant-speed linear motion in the horizontal direction and a vertical upward throw motion, or the combined motion of the linear motion and free-fall motion in the V0 direction.

The three elements of oblique throw motion are range, shot height, and flight time.

The oblique throw motion is divided into oblique upward throw and oblique downward throw. Generally, if not specified, we will default to oblique upward throw. The oblique throw motion is performed in a straight line at a uniform speed in the horizontal direction, and the vertical upward throw motion in the vertical direction.

Analysis of the oblique throw motion formula

Formula of the maximum height that oblique throw motion can reach:

When neglecting the air resistance, the decomposition speed is:

Where Vo is the throwing speed, is the angle between the speed and the horizontal plane, and g is the acceleration of gravity

The speed in the horizontal direction is:

The speed in the vertical direction is:

The displacement equation in the horizontal direction is:

The displacement equation in the vertical direction is:

From the formula

Decent

, The time it takes for the ball to reach its highest point is

So the ball movement time is

The highest point the ball can reach is called the shot height, and the horizontal displacement from the throw point to the landing point is called the range.

The horizontal range of the object is:

As can be seen from the above formula, when

Time,

degree,

There is a maximum value, so when the inclination of the oblique throw is 45 degrees, the range is the longest.

There is a maximum range from time to time. The maximum range refers to the situation where the initial state and the final state have a vertical displacement of 0. When the fall point is lower than the throw point, the optimal initial angle

h is the vertical displacement at the beginning and end.

Equation of oblique throw motion track:

Three constants:

Shooting T:

Shooting height H:

Range R:

	Oblique upward motion	Oblique drop motion
Speed in vertical direction	Vy = V0sin-gt	Vy = V0sin + gt
Vertical displacement	y = (V0sin) t-1 / 2gt ^ 2	y = (V0sin) t + 1 / 2gt ^ 2