Question

For the following acceleration versus time graph the corresponding velocity versus displacement graph is
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Answer 1

Answer:

To get the speed versus relocation chart compared to a speeding up versus time chart, we got to utilize the conditions of movement.

Explanation:

The conditions of movement are:

v = u + at

where v is the ultimate speed, u is the beginning speed, a is the increasing speed, and t is the time.

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

where s is the uprooting.

We start by expecting that the beginning speed u is zero. At that point, we are able utilize the over conditions to discover the speed and relocation at any point in time.

Let's consider a little time interim dt, amid which the speeding up is consistent. The alter in speed amid this interim is given by:

dv = a dt

The speed at the conclusion of this interim is:

v = v0 + dv = v0 + a dt

where v0 is the starting speed at the starting of the interim.

The relocation amid this interim is given by:

ds = v0 dt + (1/2) a dt^2

The whole uprooting from time t = to t = T is given by:

S = ∫ (v0 + at) dt = v0 T + (1/2) a T^2

In this way, the relocation corresponds to T^2. Therefore, the graph of speed versus uprooting may be a parabola. The vertex of the parabola is at the beginning (0,0), since the starting speed is zero. The incline of the digression to the parabola at any point is rise to the speed at that point.

To learn more about the time chart, click on the given link.

https://brainly.in/question/18556218

To learn more about movement, click on the given link.

https://brainly.in/question/7444185

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