Two particles having position vectors r1 =(3iˆ+5jˆ)meters and r2=(−5iˆ−3jˆ) metres are moving with velocities v1=(4iˆ+3jˆ)m/s and v2=(αiˆ+7jˆ)m/s. If they collide after 2s, the value of α is

Two particles having position vectors r1 = 3i + 5j m and r2 = -5i - 3j m are moving with velocities v1 = 4i + 3j m/s and v2 = ai + 7j m/s. If they collide after 2 seconds, the value of a is

An object is displaced from position vector r1 = (2i + 3j)m to r2 = (4i + 6j)m under a force F = (3x^2i + 2yj) N. Find the work done by the force.

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A particle is moving with velocity (2i+3j) m/s from a point (4,5) m. At time same instant a particle B, moving in the same plane with velocity (4i + j) m/s passes through a point C(0, -3)m. Find the x - coordinate (in m) of the point where the particles collide.