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Answered 2013-08-22 18:14:32

Velocity is an object's Speed + Direction. For example, a cannon ball fired up at 45o to the ground may have a speed of 1000 ft/sec. However, its forward Velocity is:

(1000 ft/sec) x (Sine 45o) = (1000 ft/sec) x (.707)

= 707 ft/sec

So, the ratio of the horizontal Velocity to the instantaneous Speed of the object is the SINE value of the angle of motion relative to the Horizontal axis.

But you have to remember that there is a Vertical component of the object's Speed as well. In this case, the ratio is the COSINE 45o , which happens to be .707 as well. So the ball is going forward at 707 ft/sec, and upward at 707 ft/sec. at the same time.

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