A particle of mass 0.3 kg is attached to one end of a light elastic string of natural length 0.6 m and modulus of elasticity 9N. The other end of the string is attached to a fixed point O on a smooth horizontal surface. The particle is projected horizontally from O with speed 4 m s¯¹. Find the greatest distance of the particle from O.

A particle P is projected with speed 20 m s¯¹ at an angle of 60° below the horizontal, from a point O which is 30 m a…

One end of a light elastic string of natural length 0.6 m and modulus of elasticity 24 N is attached to a fixed point…

Two particles A and B, of masses 0.8 kg and 0.2 kg respectively, are connected by a light inextensible string that pa…

The complex number 1 + 2i is denoted by u.

The line l has equation r = 4i + 3j – k + μ(i + 2j – 2k). The plane p has equation 2x – 3y – z = 4.

A particle P moves in a straight line. The velocity v m s¯¹ at time t s is given by v = 4 + 0.2t for 0 ≤ t ≤ 10, v = …