Is F = Δp/Δt Equal to F = ma in This Algebra Question?

[JoshuaOB]

Hi all. Am I correct in that dt = Δt?
Thankyou!

Homework Statement

Show that F = $\frac{Δp}{Δt}$ is equal to F = ma

Homework Equations

a = $\frac{Δv}{Δt}$
p = mΔv

The Attempt at a Solution

F = $\frac{Δp}{Δt}$
F = $\frac{mΔv}{Δt}$
F = ma

 

[Dick]

Hi all. Am I correct in that dt = Δt?
Thankyou!

Homework Statement

Show that F = $\frac{Δp}{Δt}$ is equal to F = ma

Homework Equations

a = $\frac{Δv}{Δt}$
p = mΔv

The Attempt at a Solution

F = $\frac{Δp}{Δt}$
F = $\frac{mΔv}{Δt}$
F = ma

Δ usually means a finite difference. You can replace Δ with d in the limit where the difference goes to 0. In this case, I think they probably should have used d to begin with. So yes, I think that should be ok.

 

[JoshuaOB]

My apologies, they did use d to begin with. I typed it incorrectly.