Distance vs. velocity graph

[palex]

Hello,
If I have a distance vs. velocity graph (a simple d=vx + b relation), how do I obtain the total time? I don't think the area under the function gives it...

Thanks!

 

[Deleted member 4993]

Hello,
If I have a distance vs. velocity graph (a simple d=vx + b relation), how do I obtain the total time? I don't think the area under the function gives it...

Thanks!

Is that relationship meant tobe:

d = m*v + b

Or something else....

 

[palex]

Distance as a function of velocity... a straight line (y=mx+b):

d=vx+b

Thanks.

 

[Deleted member 4993]

Distance as a function of velocity... a straight line (y=mx+b):

d=vx+b

Thanks.

What is x?

What is v?

what is d?

 

[palex]

d=distance
v=velocity
x=the slope of the line
b=the y intercept

 

[Deleted member 4993]

d=distance
v=velocity
x=the slope of the line
b=the y intercept

So the equation then becomes:

\(\displaystyle \int_{t_1}^{t_2} dt \ = \ x \cdot \int_{d_1}^{d_2}\frac{dd}{d \ - \ b}\)