Intro to Projectile Motion - CAPE Physics Unit 1

Summary

This document provides an introduction to projectile motion for CAPE Physics Unit 1, Module 1. It covers basics of projectile motion including horizontal and vertical components. It includes example problems relating to tennis and planes.

Full Transcript

Intro to Projectile Motion Unit 1 CAPE Physics Module 1 Basics of Projectile Motion Projectile: any object that moves through the air is under the influence of TWO forces (only) – force of gravity and force of friction (due to drag) For analysis and formulae at CAPE le...

Intro to Projectile Motion Unit 1 CAPE Physics Module 1 Basics of Projectile Motion Projectile: any object that moves through the air is under the influence of TWO forces (only) – force of gravity and force of friction (due to drag) For analysis and formulae at CAPE level, we assume that force from friction with air is negligible Projectile motion is the combination of two linear motions occurring both simultaneously and independently Horizontal motion Vertical motion Basics of Projectile Motion Horizontal & vertical motion is perpendicular Thus, they do not affect one another Horizontal: projectile VELOCITY IS CONSTANT (because no forces are acting in the horizontal direction) Vertical: projectile motion is affected by gravity Acceleration = Fundamental Equations for Projectile Motion Horizontal motion Since, Vertical motion Fundamental Equations for Projectile Motion Sign conventions: Up, or to the right = POSITIVE The origin of the coordinate system is set to correspond to the place and time of the projection THERE ARE THREE TYPES OF PROJECTILE MOTION TYPE 1: Horizontal projection from a height Example: Tennis A tennis ball is hit horizontally from above shoulder height, where above the ground, with a velocity of How long is the ball in the air? How far away from the player who hit the ball, does the ball land? Example: Tennis Data known: Time of the ball in the air = ???????? Horizontal distance travelled = ??????? Vertical displacement, Initial velocity, Acceleration, Initial vertical velocity, Example 2: Plane A plane traveling with a horizontal velocity of 100 m/s is 500 m above the ground. At some point the pilot drops a package to a target below. (a) How long is the package in the air? (b) How far away from the point above where it was dropped will it land?