The position function
.
Where
is the initial velocity of the object
.
is the initial position of the object
.
Position function:
\

The velocity function is defined as rate of change in position function.
\
Sum and difference rule:
.

Constant multiple rule and the power rule :
.


Find the velocity after
.
Substitute
in velocity function.

The velocity of the ball after
is
.
Find the velocity after
.
Substitute
in velocity function.

The velocity of the ball after
is
.
The velocity of the ball after
is
.
The velocity of the ball after
is
.