- #1

**Graphs of a vs. t, v vs. t, and d vs. t ???**

Plese help !!

I am given a graph of a vs. t

How do i use it to determine the other graphs:

v vs. t

d vs. t

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- Thread starter IamHenry
- Start date

- #1

Plese help !!

I am given a graph of a vs. t

How do i use it to determine the other graphs:

v vs. t

d vs. t

- #2

mathman

Science Advisor

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- 540

- #3

russ_watters

Mentor

- 21,844

- 8,804

If you have one equation, you integrate to get the others... but like mathman said, you haven't given us enough information.

- #4

i am only given the graph of a vs. t

btw

a=acceleration

t=time

v=velocity

d=displacement

plz help

thx

- #5

Integral

Staff Emeritus

Science Advisor

Gold Member

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a= dv/dt => The acceleration determines the slope of the velocity graph. So a constant acceleration line means an increasing velocity, Acceleration = 0 means a constant velocity. You must study the graphs you are given and piece together the various graphs.

Remember that v = dx/dt so you can do the same thing with the velocity line to create a displacement graph.

With that said this is off to homework.

- #6

Hyperreality

- 202

- 0

v = [inte] a dt

d = [inte] d dt

d = [inte] d dt

- #7

Sonty

- 108

- 0

If it's not a very screwed up graph you can write the equations just by looking at it.

- #8

wimms

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- 0

- #9

HallsofIvy

Science Advisor

Homework Helper

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Given a graph for a(t), estimate the area under the curve from 0 to t for a number of different values of t. That will give the graph for v(t). It is probably enough to remember things like: if the graph of a(t) is above a=0, then v(t) is increasing, if below, then v(t) is decreasing. if the graph of a(t) is horizontal, then v(t) increases (or decreases) linearly with slope given by the a value.

Once you have a rough graph for v(t), x(t) is the area under that curve. Repeat the process to get a graph of x(t).

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