It gives the velocity of the object in the radial direction. The graph gives no information whtsoever about motion in a transverse direction.
Speed
Slope of the graph will give you speed.
The slope of a distance-time graph gives the speed of an object. A steeper slope indicates a higher speed, while a flatter slope indicates a lower speed.
if there is a slope, the velocity is either increasing or decreasing. This is acceleration.
The slope of a distance-time graph represents the speed or velocity of an object. A steeper slope indicates a faster speed, while a shallower slope indicates a slower speed.
A graph requires two numerical variables before it can have a meaningful slope. A distance-graph has only one variable so it does ot have a slope in any meaningful way. For eaxmple, you could have a graph showing the distances of varoius places from, say London.
The information given by the slope of ("on") a distance-time graph is the SPEED. The size ("magnitude") of the slope is the size of the speed and the units of the distance axis are divided by the units on the time axis to give the units of the speed ... so if your distance is in miles and time is in hours then your speed will be in miles per ("divided by") hours (mph)... but if distance is in metres and time is in seconds then the speed is in metre per second (m/s).
The slope at any point on a distance-time graph represents the speed or velocity of the object at that specific moment. A steeper slope indicates a faster speed, while a gentle slope indicates a slower speed.
If I can't see the graph then how will I know the answer?
Slopes give you the rate of change. On a distance vs. time graph the rate of change (i.e. the slope) is the velocity. On a Velovity vs. Time graph the rate of change is the acceleration. etc.
Velocity is NOT the slope of the acceleration vs. time graph. Velocity is the area under the acceleration vs. time graph. Velocity is the slope of a position vs. time graph, though. For you Calculus Junkies, v = the integral of acceleration with respect to time.
Simply put, a velocity time graph is velocity (m/s) in the Y coordinate and time (s) in the X and a position time graph is distance (m) in the Y coordinate and time (s) in the X if you where to find the slope of a tangent on a distance time graph, it would give you the velocity whereas the slope on a velocity time graph would give you the acceleration.