We are given that a baseball player is running forward at 3 meters per second, throwing a ball at an angle of 20 with respect to a velocity of 20 meters per second -
( Thus, the horizontal component should be 3 + 20( cos 20 ),
( Respectively the vertical component should be 20( sin 20 )
Horizontal Component = ( About ) 21.7938...
Vertical Component = ( About ) 6.8404....
Now the speed, or otherwise velocity can be calculated through the formula v^2 = ( v1 )^2 + ( v2 )^2 -
[tex]v^2 = ( 21.8 )^2 + ( 6.84 )^2,\\v^2 = 475.24 + 46.7856,\\v^2 = ( About ) 522,\\v = 22.8 ( meters / second )\\\\Resultant Speed = 22.8 m / s[/tex]
And the direction can be calculated through the formula -[tex]direction = tan( v^2 / v^1 ),\\direction = tan( 6.84 / 21.8 ),\\direction = ( About ) 17.4 ( degrees )[/tex]
The resultant speed is 22.8 m / s, thrown with at an angle ( direction ) of 17.4 degrees
