![]() It takes you another 35 minutes to walk back to your car. What is your average velocity for the full journey, fromthe start of your driving to you arrival back at the truck with the fuel ? Suppose you next carry the fuel back to the truck, making theround-trip in 35 min. Your averagevelocity up to this point is: When you arrive at the gas station, you have covered (5.2+ 1.2) = 6.4 miles, during a period of (7.3 + 27) = 34.3 minutes. After the pickup truck runs out ofgas, it takes you 27 minutes to walk to the nearest gas station which is 1.2miles down the road. The pickup truck initially covers a distance of 5.2 miles with a velocity of43 miles/hour. What is your average velocity from thetime you started your truck to the time that you arrived at the station ? You walk 1.2 mi farther, to the nearestgas station, in 27 min (= 0.450 h). ![]() You drive a beat-up pickup truck down a straight road for 5.2 mi at 43 mi/h,at which point you run out of fuel. This is nicely illustrated in sample problem 2-1and 2-2. It is clear fromthe definition of the average velocity that depends only on the position of the object at time t = t 1 and attime t = t 2. Anobject moving to the left has a negative average velocity. If the object moves to the right, the average velocity is positive. The averagevelocity of an object during a specified time interval is defined as: t graphs for various creatures.Īn object that changes its position has a non-zero velocity. tgraph corresponds to a higher velocity.įigure 2.3. It is clear that a steeper slope of the curve in the x vs. The cheetah covers 300 meter in 10 s, the human in 30 s, and the pigrequires 60 s. A similarconclusion is obtained when we consider the time required to cover a fixeddistance. Obviously, the cheetah has the highest velocity. After 10 seconds, thecheetah has covered a distance of 310 meter, the human 100 meter, and the pig50 meter. The slope of the curve in the position versus time graph depends on thevelocity of the object. shows the position as a function of time for anobject at rest, and for objects moving to the left and to the right. The position of the object will in general be a functionof time: x(t). For example, the position of the object at time t = 0 is oftenchosen as the origin. t graphs for various velocities.įor a given problem, the origin can be chosen at whatever point isconvenient. Note: theposition is fully specified by 1 coordinate (that is why this a 1 dimensionalproblem).įigure 2.2. The position of an object along a straight line can be uniquely identified byits distance from a (user chosen) origin. In mechanics we are interested in trying to understand the motion of objects.In this chapter, the motion of objects in 1 dimension will be discussed.Motion in 1 dimension is motion along a straight line.
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