Physics > Motion in Two Dimension > 4.0 Projectile thrown parallel to the horizontal
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
4.1 Time of flight
3.2 Time of flight
3.3 Range
3.4 Trajectory of a projectile
3.5 Summary
3.6 Solved Examples
In this case, the time taken by the projectile to reach the ground is known as the time of flight.
${\overrightarrow u _y}=0$
${\overrightarrow a _y}=-g$
${\overrightarrow s _{y}}=-h$
$t=T$
Therefore we can write kinematics equation which relates displacement and time as,
$${\overrightarrow s _y} = {\overrightarrow u _y}t + \frac{1}{2}{\overrightarrow a _y}{t^2}$$$$ - h = 0 + \frac{1}{2}\left( { - g} \right){T^2}$$$$T = \sqrt {\frac{{2h}}{g}} $$
