# Flash Cards

kinematic

## Acceleration on Position-Time Graph

How to find acceleration from a position vs. time graph?  Answer: Acceleration on a position vs. time graph can be obtained, numerically by having the initial position and velocity of a moving object Or graphically, by observing the curvature of the $x-t$ graph. A graph, looking like an upside-down bowl, represents a negative acceleration and vice versa.  In this long article, we want to show you how to find constant acceleration from a position-time graph with some solved problems. You can skip this introduction and refer to the worked examples.    Types of Motion: An object can move at a constant speed or have a changing velocity. Suppose you a

kinematic

## Displacement and distance problems with solutions

Problems and Solutions about displacement and distance are presented which is helpful for high school and college students. In the following, displacement is computed for simple cases.   Displacement Problems: Problem (1): An object moves from point A to B, C, and D finally, along a rectangle.  (a) Find the magnitude and direction of the displacement vector of the object? (b) Find the distance traveled by that object? (c) Suppose the object returns to point A, its initial position. Now, Find the displacement and distance. Solution: (a) By definition of displacement, connect the initial (A) and final (D) points together. As shown, displace

The projectile motion formulas along with numerous solved examples for a better understanding of their application are presented.  Definition of projectile motion: Any object that is thrown into the air with an angle $\theta$ is projectile and its motion is called projectile motion. In other words, any motion in two dimensions and only under the effect of gravitational force is called projectile motion.  Projectile Motion Formulas: The following are all projectile motion equations in vertical and horizontal directions. In horizontal direction: \[\begin{aligned} \text{Displacement}&:\,\Delta x=\underbrace{\left(v_0 \cos \theta\right)}_{v_{0x}}t\\ \text{Velocity