Acceleration as a Function of Velocity

[DeboPGH]

Homework Statement

When 2<=t<=6
v= 4/a in ft/sec²

v= 6 ft/sec @ t=2s

Find a at t=3s

Homework Equations

a=dv/dt.

The Attempt at a Solution

My integration is horribly wrong and honestly not worth typing. LOL

 

[Spinnor]

Homework Statement

When 2<=t<=6
v= 4/a in ft/sec²

v= 6 ft/sec @ t=2s

Find a at t=3s

Homework Equations

a=dv/dt.

The Attempt at a Solution

My integration is horribly wrong and honestly not worth typing. LOL

You write,

v= 4/a in ft/sec^2

something is goofy here, something is not right?

 

[DeboPGH]

You write,

v= 4/a in ft/sec^2

something is goofy here, something is not right?

I'm sorry...acceleration (a) should be in ft/sec^2

so a=4v^-1

 

[Spinnor]

Now you have acceleration = 4/velocity what are the units of the 4

acceleration * time has units of velocity. Your expression a=4v^-1 still confuses me. Does the number 4 have units? I'm missing something that others might be missing as well.

 

[DeboPGH]

Now you have acceleration = 4/velocity what are the units of the 4

acceleration * time has units of velocity. Your expression a=4v^-1 still confuses me. Does the number 4 have units? I'm missing something that others might be missing as well.

No units on 4 it's just a constant?

the original problem is v = 4 divided by acceleration or v = 4/a

I solved for acceleration (a hint by my professor) so acceleration = 4 divided by velocity or a = 4/v