Velocity time graph &instantaneous acceleration

  • #1
karaonstage
1
0
How can you find the instantaneous accelertation of an object whose curve on the velocity-time graph is a straight line?
 

Answers and Replies

  • #2
James R
Science Advisor
Homework Helper
Gold Member
601
15
a=dv/dt.

Acceleration is the gradient of the velocity-time curve at any point.
 
  • #3
apm
1
0
acceleration = (velocity 2 - velocity 1)/ (time 2 -time1)
 
  • #4
bomba923
760
0
karaonstage said:
How can you find the instantaneous accelertation of an object whose curve on the velocity-time graph is a straight line?

Only just a straight line? Then
[tex] \forall n > 1,\;\frac{{d^n v}}{{dt^n }} = 0 [/tex]
over the interval containing this line

*karaonstage, simply find the slope of this line, and you will thus calculate the acceleration of the object.
If the slope [itex] = 0 [/itex], the object simply doesn't accelerate (travels at constant velocity).
 
  • #5
moose
547
0
Above is correct. But next time, try to think to yourself, what is acceleration. Change in velocity over time, well, if you have a velocity vs time graph, than a change in velocity over time IS your slope.
 

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