Page 44 - Electrostatics-11

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Now, the resultant velocity v is given by

2
, = √ + = √( ) + ( − )
2
2
2

= √ + − 2 +
2
2
2
2
2 2
2
= √ ( + ) − 2 +
2
2 2
2
= √ − 2 +
2 2
2
It gives the magnitude of resultant.
Let be the angle made by the resultant velocity with horizontal.

−
From figure, = =

−
= −1 ( )

It gives the direction of resultant.

Time of flight (T):

Let us take the motion up to maximum height (i.e., from point O to A)

For vertical motion, = , = − , = , =?

= +

0 = −

=

=

∴ ℎ ( ) = 2

2
, =

Alternative method: Consider whole motion of projectile,

21 Mechanics