Relative Velocity - is the answer correct?

[Mezz]

Homework Statement

An ant with a velocity of 20mm/s [W] crawls on a stick that is being dragged [W25 N] at 50mm/s. what is the velocity of the ant relative to the ground?

Homework Equations

Let A = ant, Let S=stick, Let G=ground, Let N and W be positive. Vag=?, Vas=20mm/s [W], Vsg=50mm/s[W25N]

The Attempt at a Solution

Vag=Vas + Vsg

Vas = Vasx + Vasy
= 20mm/s + 0mm/s

Vsgx = Vsg(cos25)
=50mm/s(cos25)
=45.315 mm/s

Vsgy= Vsg(sin25)
=50mm/s(sin25)
=21.130mm/s

Vagx=Vasx +Vsgx
=20mm/s+45.315mm/s
=65.3mm/s

Vagy= Vasy + Vsgy
= 0mm/s +21.130mm/s
=21.1mm/s

V2ag=V2agx +V2agy
Vag= (65.3mm/s)2+(21.1mm/s)2 - This is square root as well
Vag=68.6mm/s

Tan@= O/A
@= Tan-1(21.1mm/s / 65.3mm/s)
@= 17.9
@=18

Therefore the Ant s velocity relative to the ground is 68.6mm/s [W18N]

 

[BiGyElLoWhAt]

That's what I get as well.

 

[Mezz]

That's what I get as well.

Thank you!