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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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SteveThe numerical ratio of velocity to speed of an object is always equal to or greater than 1. This is because velocity is a vector quantity that includes both magnitude (speed) and direction, while speed is a scalar quantity that only represents magnitude. If the object is moving in a straight line, the ratio will be 1. If the object is changing direction, the ratio will be greater than 1.
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What is the numerical ratio of velocity to speed an object?
The ratio of velocity to speed of an object is always equal to 1 since velocity and speed are both scalar quantities that denote the rate of an object's motion, with velocity also specifying the direction of motion.
Is numerical ratio of average velocity to average speed always equal?
No, the numerical ratio of average velocity to average speed is not always equal. Average velocity is a vector quantity that includes both magnitude and direction, while average speed is a scalar quantity that only considers magnitude. The ratio will be equal only when the object moves in a straight line.
Is numerical ratio of average velocity and average speed is always less than one?
No, the numerical ratio of average velocity and average speed can be equal to or greater than one. This depends on the direction of motion relative to the distance traveled by the object. For example, if an object moves in the opposite direction to its initial position, the average velocity can be greater than the average speed.
What is included in velocity that is not included in speed?
Velocity includes the direction of motion in addition to the numerical value of speed. This means that velocity specifies both how fast an object is moving and in which direction it is moving.
What quantity gives both the speed and the direction of an object?
Velocity represents a quantity that combines speed (magnitude) and direction for an object in motion. It is a vector quantity that includes both a numerical value for the speed and information about the direction of motion.
