Question

Формула перемещения при прямолинейном равноускоренном движении

Answer 1

Объяснение:

если я не ошибаюсь, то эта

Answer 2

Formula for Displacement in Uniformly Accelerated Motion

The formula for displacement in uniformly accelerated motion is given by:

s = ut + (1/2)at^2 Where: - s is the displacement (or distance traveled) in meters (m) - u is the initial velocity in meters per second (m/s) - t is the time taken in seconds (s) - a is the acceleration in meters per second squared (m/s^2)

This formula applies to objects moving in a straight line with a constant acceleration. It allows us to calculate the displacement of an object at any given time, given its initial velocity and acceleration.

Explanation of the Formula

The formula for displacement in uniformly accelerated motion is derived from the equations of motion. It is based on the assumption that the acceleration remains constant throughout the motion.

The first term in the formula, ut, represents the distance covered by the object during the time interval t when it had an initial velocity u. This term accounts for the displacement due to the initial velocity.

The second term, (1/2)at^2, represents the distance covered by the object due to the acceleration a during the time interval t. This term accounts for the displacement due to the acceleration.

By adding these two terms together, we get the total displacement of the object at time t.

Example Usage

Let's consider an example to illustrate the use of the formula. Suppose an object starts from rest (initial velocity u = 0) and undergoes a constant acceleration of 2 m/s^2 for 5 seconds. We can use the formula to calculate the displacement of the object during this time.

Using the formula s = ut + (1/2)at^2, we substitute the given values:

s = 0 * 5 + (1/2) * 2 * (5^2) s = 0 + (1/2) * 2 * 25 s = 0 + 1 * 25 s = 25 meters

Therefore, the object will have a displacement of 25 meters after 5 seconds of uniformly accelerated motion.

Conclusion

The formula for displacement in uniformly accelerated motion, s = ut + (1/2)at^2, allows us to calculate the displacement of an object moving in a straight line with a constant acceleration. It takes into account the initial velocity, acceleration, and time elapsed. By using this formula, we can determine the distance traveled by an object during a given time interval.