Motion in Two Dimension
1.0 Introduction
2.0 Projectile motion
3.0 Ground to ground projectile motion
3.1 Maximum height
3.2 Time of flight
3.3 Range
3.4 Trajectory of a projectile
3.5 Summary
3.6 Solved Examples
4.0 Projectile thrown parallel to the horizontal
5.0 Projectile on an inclined plane
6.0 Relative motion between two projectiles
2.1 Basic terminologies of projectile motion
3.2 Time of flight
3.3 Range
3.4 Trajectory of a projectile
3.5 Summary
3.6 Solved Examples
(A). Point of projection $(O)$: The starting point of the projectile motion is known as the point of projection.
(B). Range $(R)$: The horizontal distance travelled by a projectile is known as the range. So, $OB$ is the range.
(C). Maximum height $\left( {{H_{\max }}} \right)$: The height up to which the projectile could reach is known as maximum height. So, $CA$ is the maximum height.
(D). Horizontal velocity $\left( {{u_x}} \right)$: Component of the velocity $u$ in the horizontal direction is known as horizontal velocity.
Horizontal velocity is responsible for the horizontal motion. It is always constant throughout the motion.
(E). Vertical velocity $\left( {{u_y}} \right)$: Component of the velocity $u$ in the vertical direction is known as vertical velocity.
Vertical velocity is responsible for the vertical motion.
Vertical velocity governs the time of flight and maximum height.
Vertical velocity simply varies as motion under gravity.
(F). Time of ascent $(t_a)$: Time taken by the particle to reach the maximum height is known as time of ascent.
(G). Time of descent $(t_d)$: Time taken by the particle to reach the ground from the maximum height is known as time of descent.
(H). Time of flight $(T)$: Time for which the particle is in the air is known as the time of flight.
(I). Trajectory: The path followed by a particle during its motion is called its trajectory.
The trajectory of a projectile is a parabola.