a) velocity of the particle
b) acceleration of the particle.
Doubt by Ananya
Solution :
Equation of wave is
y=5sin(10t+π/4)
a) Velocity of the wave
v=dy/dt
v=d[5sin(10t+π/4)]/dt
v=5cos(10t+π/4)×10
v=50cos(10t+π/4)
b) Acceleration of the wave
a=dv/dt
a=d[50cos(10t+π/4)]/dt
a=50[(-sin(10t+π/4)]×10
a=-500sin(10t+π/4)