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Distance with uniformly accelerated movement.

The distance traveled by the body during uniformly accelerated motion depends on the initial speed of the body, acceleration and the time during which the body moved.

The online calculator below allows you to find:
- Distance (path) traversed by the body through the initial speed, acceleration and time of body movement;
- The initial speed of movement of the body through the path, acceleration and time of movement of the body;
- Acceleration of the body through the distance traveled, initial speed and time of body movement;
- The time of body movement through the distance traveled, initial velocity and acceleration of body movement.

Uniformly accelerated motion is the motion of a body in which its acceleration is constant in time and directed along a straight line. The distance during uniformly accelerated motion can be determined using special formulas.

One of these formulas is a formula for the distance that a body will travel in a certain time t for a given initial acceleration a and initial velocity v:

s = vt + (1/2)at^2

where s is the distance that the body will cover in time t, v is the initial speed of the body, a is the initial acceleration of the body.

The formula allows you to calculate the distance that a body will travel with constant acceleration in a certain period of time. This formula is based on the fact that the distance that the body will travel will be equal to the initial speed multiplied by the time, plus the distance that the body travels in time under the influence of acceleration.

Another formula for distance in uniformly accelerated motion is the formula for the distance a body travels in time t for a given final acceleration a, initial velocity v, and final velocity u:

s = (u^2 - v^2) / (2a)

where s is the distance that the body will cover in time t, v is the initial speed of the body, u is the final speed of the body, a is the final acceleration of the body.

This formula allows you to calculate the distance that the body will cover in time t, if the initial and final velocities, as well as the final acceleration, are known. The formula is based on the fact that the distance that the body will travel will be equal to the difference between the squares of the final and initial velocities, divided by twice the final acceleration.

Knowing the distance with uniformly accelerated motion is useful for solving various problems in science and technology. For example, the distance traveled by a body with constant acceleration can be used to determine the time it takes the body to travel between two points, or to determine the initial velocity if the final velocity, distance, and acceleration are known.

It is important to note that in a real motion of a body, the acceleration may not be constant, and the distance that the body will travel will depend on the dynamics of motion and changes in acceleration over time.

In conclusion, the distance in uniformly accelerated motion is the distance that a body will travel in a certain period of time with constant acceleration. The distance can be calculated using a formula that depends on the initial speed, acceleration and travel time, as well as the final speed and final acceleration. Knowing the distance during uniformly accelerated motion can be used to solve various problems in science and technology.
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