Answer:
Velocity = Ds(t)/Dt= 15πcos(15πt)
Step-by-step explanation:
The displacement is given by
s(t) = 15 + 1 4 sin(15πt)
The velocity of the particle on the vibrating string is the differential of the displacement.
The velocity will be equal to
Ds(t)/Dt
s(t) = 15 + 1 4 sin(15πt)
Ds(t)/Dt = D(15))Dt + D(sin(15πt))/Dt
Let sin(15πt) = sinu
Dsinu = cos u
U = 15πt
Du/Dt = 15π
Ds(t)/Dt= 0 + 15πcosu
Ds(t)/Dt= 15πcos(15πt)
