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Deriving the Range Equation of Projectile Motion The range of an object in projectile motion means something very specific. It is the displacement in the x direction of an object whose displacement in the y direction is zero. Δx=Range=R (in other words, “R”, stands for Range.) The Range Equation or R= v i 2sin2θ (i) g can be derived from ...
1 Range of Projectile Motion. 1.1 Horizontal Range. Most of the basic physics textbooks talk about the horizontal range of the projectile motion. It is derived using the kinematics equations: ax = 0. vx. = v0x x = v0xt. ay = g. vy. = v0y gt. y = v0yt. gt2. where. v0x. = v0 cos. v0y. = v0 sin.
These equations tell you everything about the motion of a projectile (neglecting air resistance). If you know the conditions (yo , vox , voy ) at t = 0 , then these equations tell you the position (x(t) , y(t)) of the projectile for all future time t > 0. Make sure you understand The Projectile Motion Equations.
Projectile Motion: - good examples of projectiles are a rock thrown straight out from the top of a cliff and a ball thrown across a field - the word projectile comes from the Latin jacere meaning ‘to throw’ and pro meaning ‘forward’ - projectile motion can be separated into two components; a
projectiles launched horizontally have no initial vertical velocity. as a result, the vertical motion is identical to that of a dropped object. the downward velocity increases due to the acceleration due to gravity.
PROJECTILE MOTION Objectives † Distinguish between a vector quantity and a scalar quantity. (5.1) † Explain how to find the resultant of two perpendicular vectors. (5.2) † Describe how the components of a vector affect each other. (5.3) † Describe the components of projectile motion. (5.4) † Describe the downward motion
MOTION OF A PROJECTILE Today’s Objectives: Students will be able to: 1. Analyze the free-flight motion of a projectile. In-Class Activities: •Check Homework •Reading Quiz •Applications •Kinematic Equations for Projectile Motion •Concept Quiz •Group Problem Solving •Attention Quiz
