A particle is projected from a point (0,1) of Y-axis (assume + Y direction vertically upwards) aiming towards a point (4,9). It fell on ground along x axis in 1 sec. Taking `g=10(m)/(s^2)` and all coordinate in metres. Find the X-coordinate where it fell.

The coordinate of the projection of the point (2,1,3) on the x-axis is

A particle is projected from the horizontal x-z plane, in vertical x-y plane where x-axis is horizontal and positive y-axis vertically upwards. The graph of y coordinate of the particle v/s time is as shown . The range of the particle is sqrt3 . Then the speed of the projected particle is:

A particle is projected from the horizontal x-z plane, in vertical x-y plane where x-axis is horizontal and positive y-axis vertically upwards. The graph of y coordinate of the particle v/s time is as shown . The range of the particle is sqrt3 . Then the speed of the projected particle is:

Taking horizontal ground as xz - plane and y-axis vertically upwards. A particle is projected from the horizontal ground from a point whose position vector is hati_hatk meter with initial velocity from the origin when it hits ground is given by (1)/(5)[11hati+n hatk] , find n . (Take g = 10 m//s^(2) in negative y - direction)

A particle of mass m is released in vertical plane from a point P at x=x_(0) on the x -axis. It falls vertically parallel to the y -axis. Find the torque tau acting on the particle at a time about origin.

A particle of mass m is released in vertical plane from a point P at x=x_(0) on the x -axis. It falls vertically parallel to the y -axis. Find the torque tau acting on the particle at a time about origin.

Find the coordinates of the point on Y-axis which is equidistant from the points M(6,5) and point N(-4,3).

A point lies on y - axis if its (i) x - coordinate is 0 (ii) y- coordinates is 0 (iii) both are zero