Page 40 - Electrostatics-11

© GC Shiba

Projectile:

An object thrown into space or atmosphere such that it moves under the effect of

gravity alone is called projectile.

For example: A stone thrown from certain height

A bomb dropped from the aero plane etc.

Trajectory: The path followed by a projectile is called trajectory.

Case A: A projectile thrown horizontally from certain height.

Consider a projectile thrown
horizontally from the top of tower with

initial velocity u. let h be the height of
the tower. The projectile has two types
of motion at the same time.

• Horizontal motion which is
uniform (a = 0)

• Vertical motion which is
accelerated ( a = g)

Equation of path:

Let P be the position of projectile at any time t. Here, it has covered horizontal
distance x and vertical distance y.

1
2
For horizontal motion: = +
2
= … … … ( )

1
2
For vertical motion: = +
2
1
2
, = … … … ( )
2

Eliminating t from equation ( ) ( )

17 Mechanics