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VELOCITY-TIME GRAPH

by bayan
Tags: graph, velocitytime
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bayan
#1
Jul17-04, 06:26 AM
P: 202
How do you calculate the instantanius velocity of an object from a Velocity-Time graph?
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jcsd
#2
Jul17-04, 06:32 AM
Sci Advisor
PF Gold
P: 2,226
The instaneous velocity of the object described in the graph at a partycular time t, is simply it's velcoity at that time. In other words you don't have to do any calculus (like you weould have to do if you wished to find the average vellcoity over a certain time) just read the value from the graph.
HallsofIvy
#3
Jul17-04, 06:37 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,497
Quote Quote by bayan
How do you calculate the instantanius velocity of an object from a Velocity-Time graph?
Are you sure this is what you meant? As jcsd pointed out, if you really have a "velocity- time" graph, then the instantaneous velocity is just the "y" value of the graph at time t.

If you have a "position-time" graph, then the velocity is the slope of the tangent line at the point.

If you have a "velocity-time" graph, then the acceleration is the slope of the tangent line.

bayan
#4
Jul17-04, 06:43 AM
P: 202
VELOCITY-TIME GRAPH

sorry i asked the wrong question.

How do you calculate the Acceleration at a given time?
bayan
#5
Jul17-04, 06:47 AM
P: 202
and also the tangent line is curved *the train accelerates at diffrent acceleratio*
Didd
#6
Jul17-04, 06:48 AM
P: 28
accleration: velocity per unit time or V/t. It is just as is as this one.
jcsd
#7
Jul17-04, 06:49 AM
Sci Advisor
PF Gold
P: 2,226
a = dv/dt

i.e. differentiate
bayan
#8
Jul17-04, 06:53 AM
P: 202
can you explain abit more please
jcsd
#9
Jul17-04, 07:15 AM
Sci Advisor
PF Gold
P: 2,226
If you only have the graph find the gradient of the grpah at that particular point, if you have the equation differentiate v with respect to t.
HallsofIvy
#10
Jul17-04, 10:05 PM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,497
As I said before: if you have a "Velocity-time" graph, draw a tangent to the curve at the given value of t and find its slope.


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