How to Find Total Displacement How to Find Total Distance Most distance problems in calculus give you thevelocity function, which is thederivativeof theposition function.The velocity formula is normally presente
Hooke's law is very easy to work with – a luxury not often bestowed on physics work. It says that the force an elastic object exerts against deformation increases proportionally to the displacement of the spring (or elastic object) from its equilibrium position. Using less scientific jargon, ...
It is also called the reverse process of differentiation, where the function is disintegrated into parts to find the derivatives. Whereas integration, on the other hand, is used to find the antiderivatives of a function. Both the processes which constitute calculus are inverse of each other. How...
While there are different types of functionals, calculus of variations is mostly concerned with one in particular: where adefinite integral’sintegrandcontains a (yet to be determined) function. The goal of calculus of variations is to study the changes in these functional while moving from one f...
Calculate the instantaneous velocity for the indicated value of time (in s) of an object for which the displacement (in ft) is given by the indicated function. Calculate values of the average velocity How to find average velocity in calculus? What is the average rate of change of velocity ...
Calculate the distance from the earth to the point where the gravitational field due to the earth and the moon cancel out. Given that the earth-moon distance is 3.8×108m and the mass of earth is 81 times that of moon. View Solution Find the distance of a point from the earth's cen...
Now, let’s calculate the volume using the disk (washer) method and the shell method, side by side, and see how they compare. Disk Method Vs Shell Method Isn’t it awesome to see that both methods yield the same result! Cool! But, if we can use either technique, how do you know...
Ten years ago students studying the diffraction pattern produced by an illuminated slit did not know that the same method of procedure would enable them to calculate the directional characteristics of an underwater sound signaling apparatus. Some of the students who had studied the principles, ...
To correct for the boundary layer, you can use that information to determine the chordwise pressure gradient and calculate the boundary layer, then adjust the shape of the airfoil using the displacement thickness, and re-run the panel method to get a more accurate solution. After several ...
With the values of the two inner points, and the gradients at the these points, we'll have four variables and thus sufficient unknowns to calculate the three parameters necessary to specificy the cubic. We'll use the two outlier points to help specify the gradient needed (details below). ...