Guide

1

Enter the coordinate system relative to which you will determine the direction and

**module****speed**.If the problem is already defined formula**speed**depending on the time, enter the coordinate system is not necessary - it is assumed that it already is. 2

on available functions depending

**speed from time to time you can find the value****speed at any time t.Suppose, for example, v = 2t² + 5t-3.If you want to find****module****rate at time t = 1, simply substitute this value into the equation and calculate the v: v = 2 + 5-3 = 4.** 3

When a task requires finding the velocity at the initial time, substitute in the function t = 0.Likewise, you can find the time, substituting a certain speed.Thus, at the end of the path body is stopped, that is, its speed has become zero.Then 2t² + 5t-3 = 0.F
rom t = [- 5 ± √ (25 + 24)] / 4 = [- 5 ± 7] / 4.It turns out that either t = -3, t = a 1/2, and since the time can not be negative, there is only t = 1/2.

4

Sometimes problems

**speed**equation given in a veiled form.For example, in the condition it is said that the body moved uniformly accelerated with a negative acceleration of -2 m / s², and initially the speed of the body was 10 m / s.The negative acceleration means that the body is uniformly slowed.Because of these conditions, you can create an equation for the speed**: v = 10-2t.With every second the rate will be reduced to 2 m / s, until the body stops.At the end of the road speed is reset, so it's easy to find the total drive time: 10-2t = 0, where t = 5 seconds.5 seconds after the beginning of the movement the body stops.** 5

addition to linear motion of the body, there is also a movement of the body in a circle.In general, it is curved.There arises a centripetal acceleration that is associated with the linear velocity of the formula a (c) = v² / R, where R - radius.It is convenient to consider also the angular velocity ω, and v = ωR.

Sources:

- how to find the way from the time dependence