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Distance-time graphs show distance from a fixed point at different times. Distance is on the vertical axis, and time is on the horizontal axis. The gradient of the graph is the speed. A positive gradient represents the object (or person) moving away from the starting point. If the graph is a horizontal line the object is stationary (not moving)
Time of Flight. The time of flight of a projectile motion is the time from when the object is projected to the time it reaches the surface. As we discussed previously, \(\mathrm{T}\) depends on the initial velocity magnitude and the angle of the projectile:
Graphing Position as a Function of Time. A graph, like a picture, is worth a thousand words. Graphs not only contain numerical information, they also reveal relationships between physical quantities. In this section, we will investigate kinematics by analyzing graphs of position over time.
The traveling salesman problem involves finding the shortest route to travel between two points.
Travelmath provides an online flight time calculator for all types of travel routes. You can enter airports, cities, states, countries, or zip codes to find the flying time between any two points. The database uses the great circle distance and the average airspeed of a commercial airliner to figure out how long a typical flight would take.
Position-vs.-time graphs note one's position relative to a reference point (which is where x=0 on the graph in the video). Here's an example of the difference: A tennis player hits a ball to a wall 5 meters away, and the ball bounces back the same distance.
The slope of a velocity graph represents the acceleration of the object. So, the value of the slope at a particular time represents the acceleration of the object at that instant. The slope of a velocity graph will be given by the following formula: slope = rise run = v 2 − v 1 t 2 − t 1 = Δ v Δ t. v ( m / s) t ( s) r i s e r u n t 1 t 2 v 1 v 2.
