S is an inertial frame. The other frame S' is moving relative to S with a constant velocity. The frame S' is.?

As we know the accelerated frame is also the non-inertial frame. Here frame S' is moving with constant velocity, so it is not accelerated and hence S' is = inertial frame.

find the roots of eqn X^2 + 5*X + 6 =0.

given eqn. x^2 - 5*x - 6 =0 we can write above eqn as => x^2 +x - 6*x -6 =0 => x(x+1)-6(x+1) = 0 => (x+1)(x-6)=0 => we get x = -1 & 6

Escape velocity of a body of 1kg mass on a planet is 100m/s. Gravitational potential energy of the body at the planet is.?

Given : Ve = 100m/s, m= 1kg, G= 6.67*10^(-11) Nm^2kg^(-2),M= mass of planet,R=radius of earth Esacpe velocity = (2GM/R)^(1/2)=100 we get, GM/R = 5000 potential energy U= -(GMm)/R = -5000 J (Ans.)