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I can conceptually and mathematically describe forces and motion. Distance is the length of a path between two points. Displacement is the direction and distance between a beginning point and an ending point. Sometimes it is necessary to combine displacements mathematically. We can do this by using vectors. A vector is a quantity that has a magnitude (how much) and direction. A scalar is a quantity that has a magnitude without a direction. Speed is how fast something moves. There are 2 ways to describe the speed of an object: ◦ a) average speed ◦ b) instantaneous speed Average speed is the average value of speed for an object over the entire duration of the trip. The mathematical equation for average speed is: Average Speed = Total Distance Total Time v=d cccct V speed d distance t time Instantaneous Speed is the speed measured at a particular instant in time. Distance and time can be displayed on a distance-time graph. Speed is the slope of a line on a distancetime graph. Velocity is speed with a direction. For example: ◦ the speed of a Camaro may be 75 miles per hour, ◦ the velocity may be 75 miles per hour EAST. Acceleration is the rate at which velocity changes. Acceleration is a vector. Acceleration can be described as a change in: ◦ Speed ◦ Direction ◦ or both Free fall is when an object falls towards Earth due to earth’s gravity. Objects falling near Earth’s surface accelerate downward at a rate of 9.8 m/s2 You can calculate the acceleration of an object by dividing the change in velocity by the total time: Acceleration = change in velocity total time = (v2 – v1 ) t Acceleration is the slope of a speed-time graph. Average acceleration is a measure of the average value for the acceleration of an object over a given amount of time. Instantaneous acceleration is a measure of the acceleration of an object at any given instant in time. I can conceptually and mathematically describe forces and motion.