Show that `V_(0) =sqrt(gr)`

Show that (1 / sqrt(2) + i / sqrt(2))^10 + (1 / sqrt(2) - i / sqrt(2))^10 = 0 .

Show that ((1)/( sqrt2) + (i)/( sqrt2 )) ^( 10) + ((1)/( sqrt2 ) - (i)/( sqrt2 )) ^( 10 ) = 0

A particle is projected with a speed v_(0) = sqrt(gR) . The coefficient of friction the particle and the hemi- spherical plane is mu = 0.5 Then , the acceleration of the partical is

A particle is projected with a speed v_(0) = sqrt(gR) . The coefficient of friction the particle and the hemi- spherical plane is mu = 0.5 Then , the acceleration of the partical is

Show that v=v_(0)+at by graphical method.