Describe two situations in engineering field in which motion quantities and motion graphs are relevant.

Answer 1

Well, by "motion" we can pick, displacement , velocity and acceleration. Having done this, we need to dream up two situations where where on or more of these are important.

Situation One: Aerospace engineering, where measuring velocity is important, when launching a satellite that has to go into near-earth orbit. You can work out the minimum speed for circular orbit by using F = m1v^2/r and F = Gm1m2 /r^2. The former is Newton's second law for circular motion where F = centripetal force. The latter is Newton's law of gravitation with m1 equal to satellite mass and m2 = earth mass. Set them equal to one another and you can solve for v and after plugging in numbers you will find that orbital speed for near earth orbit is some 20 times the speed of sound..

Situation Two: If you are a strange planet and want to know what it's gravitational acceleration is you could do a simple experiment, graph it and find g. What you would do is drop an object from various heights (y) and time how long it takes to hit the ground. Then you would make a plot of y vs t^2. The slope of this graph is g/2. Why? Because y = 1/2 g y^2, so when you plot y vs time squared you get a straight line and since g is constant, the slope is g/2