How to find speed, formula

All tasks in which there is a movement of objects, their movement or rotation, one way or another are associated with speed.

This term characterizes the movement of an object in space for a certain period of time - the number of distance units per unit of time. It is a frequent "guest" as sections of mathematics and physics. The source body can change its location both evenly and with acceleration. In the first case, the speed of the speed is static and does not change during the movement, in the second, on the contrary, it increases or decreases.

1

How to find speed - uniform movement

If the velocity of the body remains unchanged from the beginning of moving until the end of the path, then we are talking about moving with constant acceleration - uniform motion. It can be straightforward or curvilinear. In the first case, the trajectory of the movement of the body is straight.

Then v \u003d S / T, where:

• V - the desired speed
• S - distance traveled (shared way),
• t - the total time of movement.

2

How to find speed - acceleration constantly

If the object moved to acceleration, then its speed as it changed. In this case, the expression will help to find the desired value:

V \u003d V (NCH) + AT, where:

• V (beginning) - the initial speed of the object,
• a - acceleration of the body
• t - Total travel time.

3

How to find speed - uneven movement

In this case, there is a situation where different parts of the path of the body took place over different times.
S (1) - for t (1)
S (2) - for T (2), etc.

In the first section, the movement took place in the "Tempe" V (1), on the second - V (2), etc.

To find out the speed of moving the object on the entire path (its average value) use the expression:

V \u003d (S (1) + S (2)) / (t (1) + t (2)).

4

How to find speed - rotation of an object

In case it is the rotation of the angular velocity, which determines the angle of rotation of the element per unit time. Designate the desired value of the symbol ω (rad / s).

• ω \u003d Δφ / Δt, where:

Δφ - traversed angle (angle increment)
.DELTA.t - elapsed time (while driving - time increment).

• If the rotation is uniform, the target value (ω) associated with such a concept as the rotation period - the time it takes our object will make one complete revolution. In this case:

ω \u003d 2π / T, where:
π - constant ≈3,14,
T - period.

Or ω \u003d 2πn, where:
π - constant ≈3,14,
n - the frequency of revolution.

• With the known linear velocity of the object each point on the path of movement and radius of the circle along which it moves, for finding the speed ω require the following expression:

ω \u003d V / R, where:
V - the numerical value of the vector value (linear speed),
R - the radius of the trajectory of the body following.

5

How to find speed - approach and distant points

The problems of this kind would be appropriate to use the terms of convergence speed and distancing speed.

If the objects are sent to each other, the approach speed (zoom out) will be as follows:
V (approximated) \u003d V (1) + V (2) where V (1) and V (2) - the speed of the corresponding objects.

If one of the bodies overtakes another, the V (approximated) \u003d V (1) - V (2), V (1) over V (2).

6

How to find the velocity - the movement of the pond

If the events unfold on the water, by the own speed of the object (body motion relative to water) is added and the rate of flow (i.e. the movement of water relative to the fixed shore). What is the relationship of these concepts?

In case of moving the flow V \u003d V (sobst) + V (tech).
If the upstream - V \u003d V (priv) - V (tech.).