Question

Two particles are moving along x-axis. Particle-1 starts from x=-10 m with velocity 4 m//s along negative x-direction and acceleration 2 m//s^2 along positive x-direction. Particle-2 starts from x=+2 m with velocity 6 m//s along positive x-direction and acceleration 2 m//s^2 along negative x-direction. (a) Find the time when they collide. (b) Find the x-coordinates where they collide. Both start simultaneously.

Answer 1

a) the two particles will collide at t=6 sec

  b)the x coordinate where they collide is x=2m

given the velocity of particle 1=-4m/s(towards negative xaxis)

                                    the velocity of particle 2=6m/s(towards positive x axis)

                                    accleration of particle 1=2m/s2(towards positive xaxis)

                                    accleration of particle 2=-2m/s2(towards -ve x axis)

2)let they collide at a point x=s m from point 2

3)eqaution of the displacement travelled for particle1 and 2 are given by

               12-s=-4t+0.5*2*t2 for 1

                     s=6t-0.5*2*t2  for2

3)by solving we get t=6sec

4)substituting t in the equation we get s=2m