Can you explain in a little more detail what you are trying to do? Maybe a visual outlining what the car is doing?
This is an assignment question I just cant seem to get. Its refering to the performance data of a car and you have to develop a function that incorporates a specified turning point and a speed that it must pass through at a certain time. Any help would be much appreciated
So anyway, Im assuming that the function must pass through 0, 0 seeing as its a speed time graph. And it must travel through a speed of 27.7m/s at 7.7 seconds AND have a turning point at 78.3 seconds travelling at 63.05m/s..... I dont see how this is even possible in a quadratic funtion?
The question doesnt specify a quadratic function but I figured it would have to be seeing its a speed time graph...
So the function is supposed to represent the performance of the car, so it shows its speed after t seconds. Its just a car accelerating as fast as possible in a straight line. So it says that it goes from 0 to 100km/h (27.77m/s) in 7.7 seconds and its max speed is 63.05m/s and it will take 78.3 seconds and were supposed to make a function that roughly represents the cars speed at any time while it is accelerating. Sorry if im not explaining it well..
The first thing you should do is integrate twice to get displacement and then solve for the co-efficients given your requirements.
The displacement function as a function of time should be a quadratic in the typical form of f(t) = at^2 + bt + c