View Full Version : Variable acceleration - Help plz!
Hulk
14th June 2006, 07:17 PM
If a =3s+5 and initially v=1 m/s when s=1 m, find v when s = 2 m.
I just can't get started.
DigbyIsCool
14th June 2006, 07:33 PM
vdv/ds = 3s+5
integrate both sides
∫vdv =∫(3s+5) ds
v/2 = 3s/2 +5s +C
but v=1 m/s when s = 1m
½ = 3/2 + 5 +C
C=-6
v/2 = 3s/2 +5s -6
when s = 2m
v/2 = 3(4)/2 +5(2) -6
v= 20
v=2√(5) m/s
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