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What is the angular distance around the horizon from some reference point?
If the reference point and an object are both on the horizon then the angular distance to the object, relative to the reference point is simply the angle formed between the two rays from the observer to object and to the reference point. If either the object or reference point (or both) are not in the plane of the horizon then the appropriate rays are the projections of the rays from the observer onto the plane containing the horizon.
A single point on a distance time graph tells the?
The vertical axis gives the distance of an object from a fixed point - the point of reference - after a time, as measured on the horizontal axis.
What does the formula ax plus b for a time vs distance graph mean or stand for were time is on the y-axis?
The object is at some reference point at time b. The object moves at a constant speed (in a radial direction). Its speed is 1/a units of distance per each unit of time. Equivalently, it takes a units of time to move a unit of distance. The formula gives the time taken to get to a distance of x units from the reference point.
What does the slope on a distance versus time graph show?
It shows the speed of an object in a direction towards or away from the reference point. This is not the speed of the object because any motion in a transverse direction is ignored. For example, even if a racing car is going at top speed around the reference point on a circular track, the distance v time graph will be a horizontal line. The slope will be zero.
What does a distance time graph show?
A distance-time graph shows the movement of an object with respect to time. The average slope between any two points on the graph is equal to the average velocity of the object between those two points. The instantaneous slope (or derivative) at a point on the graph is equal to the instantaneous velocity of the object at that point.
