A speed gun is what gives the speed given on the TV when the ball is bowled. Of course hawkeye can determine the angle of release, since the whole system works on the principle of a computer receiving and analysing the data received by cameras in various positions around the ground. Each camera can help determine where the ball is every few hundredths of a second between the time of release and the time of interception (either where the ball hits the batsmen, or where the batsman hits the ball, or when the ball passes the line of the stumps).
The release angle can be approximately determined from the first few frames from the side-on camera after the ball is released. Basically the each camera gives the computer a strobe-like picture of where the ball is each frame, and the computer can 'join the dots' to find where the ball will be at each instant in time. And it can combine the pictures received from various angles to not just get a 2-dimensional, but get a 3-dimensional view of where the ball is at each instant, and it can use this information to predict where the ball is heading and therefore whether it's hitting the stumps or not.
Here is an example of the strobe picture of a basketball bouncing http://upload.wikimedia.org/wikipedia/co... and each hawkeye camera would send the computer a similar type of image. Hawkeye has been used in the past to demonstrate things like how the speed of the ball decreases as it approaches the batsman, even to find the percentage of a ball's pace it loses when it pitches, which can be an indicator of how damp the pitch is. Speed is not difficult to calculate using a system such as the Hawkeye system, it can be calculated from how far the ball travels between each frame of one of the cameras.
But yes, to answer the original question, the speed the ball is bowled at is given by a speed gun, separate to Hawkeye, and only gives the speed the ball leaves the hand at. That's the speed that appears on the graphics just after the ball is bowled.
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