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The following plot shows the trajectory of a projectile launched with an initial velocity of 10 m/s, at an angle of 45 and with no initial height (dashed line).
Cartesian Equation of Motion: = −𝑔𝑥 2𝑉2 (1+tan2𝜃)+ tan𝜃 Time of Flight: 𝑡=2𝑉sin𝜃 𝑔 Maximum Range: =𝑉 2 𝑔 Maximum Height: =𝑉 2sin2𝜃 2𝑔
Projectile Motion Definition: • body of mass m launched with speed v0 at angle θ from the horizontal; • air resistance F P res = − b v P , b = nonnegative constant (possibly zero) x z F = –mg m θ z v 0 Prerequisites: • fundamentals of Newtonian mechanics • motion in one dimension, with and without res-istance Why study it?
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
Projectile motion is the motion of an object thrown (projected) into the air when, after the initial force that launches the object, air resistance is negligible and the only other force that object experiences is the force of gravity.
projectile movement of an object motion through the air, subject only to the effects of gravity. range the maximum horizontal distance a projectile travels. launch The angle of a projectile’s angle initial velocity when measured from the horizontal direction. These angles are typically 90° or less.
5 PROJECTILES. Objectives. After studying this chapter you should. • recognise that projectile motion is common; • understand how to obtain a simple mathematical model of projectile motion; • be able to validate the model; mple problems of projectile motion;• know how to use the model to invest.
