Question

find the solution of the wave equation for a vibrating string of length (l)=10units with ends fixed .it is given that c^2=1,initial velocity is zero and initial deflection is u(x,o)=k(sinx-sin2x)

Answer 1

it i'll be 60m

as there is no external force acting except gravitational force ,do its path should be at the range of parabolic path

range(R)=u^2sin(theta)/g

here u=20,theta=45,g=10

thus R=20^2sin45/10=4

conservation of momentum m1d1+m2d2=md

m/2*20+m/2*d2=m40

d2=60

the other piece will fall 60m far from origin