STEM Creations

The momentum of an object is equal to the product of its mass and velocity. In order to find the change the momentum of an object, we will need to calculate its impulse, which is the product of force and the time during which the force acts. In this e-book, some vivid real life examples that tie the concept of impulse and momentum are given. These worked out physics problems will serve as a great guide for students and teachers. They are also intended to ignite the students towards adventures

In our quest to help all students succeed in AP calculus, we hereby create a series of formulas that all AP students must master. These formulas are common differentiation and integration formulas as taught in a first level of calculus course in college. Differentiation is the process of finding a derivative of a function. On the other hand, integration is the process of finding the antiderivative of a function. In this e-document, you will find all the integration rules for power functions, e

This lesson on approximating the area under the graph of a function is intended for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus. Given a function f(x) where f(x)≥0 over an interval a ≤ x ≤ b, we investigate how to find the area of the region that is under the graph of f(x) and above x-axis over the interval [a,b]. In this topic, we will use formula 1 + 2 + 3 + ...+ n = n(n+1)/2, and 1^2 + 2^2 + 3^2 + 4^2 + ...+(n-1)^2 + n^2 = n (n+1)(2n+1)/6 to simply the sum