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Assumptions of Projectile Motion The free-fall acceleration is constant over the range of motion. Velocity of a projectile vovo vfvf v v v x y Velocity is tangent to the path for the entire trajectory.Projectile Motion Diagram Section 4.3 Perpendicular components of motion are independent of one another. Analyzing Projectile Motion Consider the motion as the superposition of the motions in the x- and y- directions. Projectile Motion Vectors The final position is the vector sum of the initial position, the position resulting from the initial velocity and the position resulting from the acceleration. Range and Maximum Height of a Projectile When analyzing projectile motion, two characteristics are of special interest 1.The range, R, is the horizontal distance of the projectile. Height of a Projectile, equation The maximum height of the projectile can be found in terms of the initial velocity vector: This equation is valid only for symmetric motion. Range of a Projectile, equation The range of a projectile can be expressed in terms of the initial velocity vector: This is valid only for symmetric trajectory. Sample – Maximum Projectile Range In order to calculate the maximum range of a rocket, you fire the rocket straight up and record the time it takes for it to return to the ground, t trajectory. Sample – Extra Practice A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle ? i above the horizontal. Projectile Motion – Problem Solving Hints Conceptualize Establish the mental representation of the projectile moving along its trajectory. Motion in Two Dimensions Chapter 7.2 Projectile Motion What is the path of a projectile as it moves through the air? Motion in Two Dimensions Chapter 6 Motion in Two Dimensions Use Newtons laws and your knowledge of vectors to analyze motion in two dimensions. JavaScript appears to be disabled - most features on Can Stock Photo will not function correctly.Not a member yet? Search Can Stock Photo for royalty free illustration, royalty free clipart, digital artwork, EPS vector clip art, stock illustrations, stock images, logo icon graphics, and cheap EPS format line art drawings. Newtons Laws of Motion We begin our discussion of dynamics (study of how forces produce motion in objects) Well use kinematic quantities (displacement, velocity, acceleration) along with force & mass to analyze principles of dynamics –What is the relationship between motion and the forces that cause the motion?

Newtons Laws of Motion The net force acting on the hot dog cart can be determined from the components of each individual force: How do forces affect motion? Newtons Laws of Motion Now consider what happens when net force on a body is not zero: –From experiments, we learn that the presence of a net force acting on a body causes the body to accelerate What is the relationship between net force and acceleration?

CQ1: A 50-kg skydiver and a 100-kg skydiver open their parachutes and reach a constant velocity.

CQ2: If F is the force of air resistance on an object with mass m moving at a constant velocity, which of the following best describes the acceleration of the object when the force of air resistance is reduced by a factor of 4?

CQ3: Interactive Example Problem: Predict the Satellites Motion Which animation correctly shows the motion of the satellite after the thruster force is applied? Weight Weve already seen (from the hot dog cart example) that there is a force called weight that is exerted on bodies due to the gravitational pull of the earth What is the magnitude of this force?

CQ5: Interactive Example Problem: Rocket Blasts Off What is the maximum height reached by the rocket? Friction When pushing a car, have you ever noticed that its harder to start car moving than to keep it moving? Example Problem #4.69 N1N1 m1gm1g T f1f1 f2f2 N2N2 m2gm2g T Two boxes of fruit on a frictionless horizontal surface are connected by a light string (see figure below), where m 1 = 10 kg and m 2 = 20 kg. RRHS Physics 11 Unit 2 Slide #1 Unit 2 Forces This unit will address the next logical question of why things move (or dont move!), which is known as dynamics. HOME Terms of Use Disclaimer Privacy Policy DMCA xtraGFX Rules Register Login Login Register Forgot Password? The actual position at any time is given by: The initial velocity can be expressed in terms of its components. If the initial speed of the stream is v i, at what height h does the water strike the building? Kinematics in Two Dimensions Will study the vector nature of position, velocity and acceleration in greater detail.

General Solving 2-D Problems ? Resolve all vectors into components ? x-component ? Y-component ? Work the problem. Do Now: An object is launched up vertically with an initial velocity of v oy and lands back on the ground.

A Question to Begin ? At the instant a horizontally pointed cannon ball is fired, a cannonball held at the.

An object moves in ________________ with an ____________________ and an ____________________.

A projectile is an object moving in two dimensions under the influence of Earth's gravity; its path is a parabola. 202 Critic clip art vector EPS illustrations and images available to search from thousands of stock illustrators. Star rating vectorsVector Film Awards, gold award wreaths on black background vector illustrationStar Rating Element.

Can Stock Photo has the royalty free illustration, line art drawing, EPS vector graphic, or stock clipart icon that you need. Sir Isaac Newton 1642 – 1727 Formulated basic laws of mechanics Discovered Law of Universal Gravitation Invented form of. 2 Sir Isaac Newton 1642 – 1727 Formulated basic laws of mechanics Discovered Law of Universal Gravitation Invented form. 2,530 5 number clipart EPS vector drawings available to search from thousands of royalty free illustration providers.

Star rating system for feedback, value, good-bad experience, customer satisfaction, valuation of quality, good-bad quality concepts. Our designers and illustrators provide royalty free stock images, clip art, clipart graphics, and pictures for as little as 1 dollar. What is the maximum acceleration the truck can have so that the crate does not slide relative to the trucks flatbed?

Compute the rockets range as a function of the angle of elevation, ? and the initial speed, v o. Finalize Check to see if your answers are consistent with the mental and pictorial representations.

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