A small block is connected to one end of a massless spring of un – stretched length 4.9m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2m and released from rest at t=0. It then executes simple harmonic motion with angular frequency (ω)=(π/3)rad/s. Simultaneously at t=0, a small pebble is projected with speed (v) from point (P) at an angle of 45^∘ as shown in the figure. Point (P) is at a horizontal distance of 10 m from O. If the pebble hits the block at t=1s, the value of v is (take g=10m/s^2).