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On an axis in which moving from right to left is positive, what is the displacement and distance of a student who walks 32 m to the right and then 17 m to the left? Displacement is -15 m and distance is -49 m .
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A description of how fast or slow an object moves is its speed. Speed is the rate at which an object changes its location. Like distance, speed is a scalar because it has a magnitude but not a direction. Because speed is a rate, it depends on the time interval of motion.
To determine the displacement of an object, you only have to consider the change in position between the starting point and the ending point. The path followed from one point to the other does not matter.
Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
So distance s is ½(height, v) x (base, t) s = ½vt. Suppose the object does not start from rest when the clock starts at 0 but is already moving with speed u. It accelerates to speed v in time t. Then the graph is like graph V below; and the distance travelled is given by the shaded area.
practice problem 1. I went for a walk one day. I walked north 6.0 km at 6.0 km/h and then west 10 km at 5.0 km/hr. (This problem is deceptively easy, so be careful. Begin each part by reviewing the appropriate physical definition.) Determine… the total distance of the entire trip. the total displacement of the entire trip.
1. A car travels a distance of 540km in 6 hours. Calculate the speed of the car. 2. John is a runner. He runs the 100m sprint in 20.0 s. Calculate the John’s speed. 3. Lauren walks 400 m in 125 s . Calculate Lauren’s average speed. 4. A mouse runs a distance of 2.0 metres in 16 seconds. Calculate the speed of the mouse. 5.
