A particle projected with a velocity m/s from a fixed point in a horizontal plane landed at a point in the same plane 360 m away. Find the value of and the projectile’s path’s greatest height . Take .
A particle projected from the origin passed horizontally through a point with a position vector of m, where and are horizontal and vertical unit vectors respectively. Determine the velocity with which the particle left , considering the acceleration due to gravity to be 9.8 m/s2.
A particle started moving from with a velocity of m/s, where and are unit vectors horizontally and vertically upward respectively. Find, giving your answer to the nearest integer, the distance of the particle from after 1 s. Consider the acceleration due to gravity to be 9.8 m/s2.