A quarterback (QB) is running at 3.2 m/s at an angle of 25 degrees with x axis as shown in the sketch. At the moment he's at the origin (x = y = 0) he throws the football to a receiver which is stationary located at the coordinates x = 10 meter, y = 6 meter. The total velocity of the ball (accounting for velocity out of the quarterback's hand in addition to the quarterback's velocity) must have a magnitude of 16.2 m/s in order to make it to the receiver in time. With respect to the x axis, what angle must the ball be thrown in degrees? (Hint: this is similar to the football throw problem done in class except the QB is running at an angle and the receiver isn't directly "in front" of the QB. The setup of the problem is the same though - it's just a vector addition/subtraction problem so find all the components that can be found and perform a vector addition/subtraction. Also, remember the total velocity of the QB in addition to the ball must be in the direction from the QB to the receiver such that it will make it to the receiver.)

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