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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.
- the path of a moving object is called its trajectory (Latin trajectus means ‘crossing’ or ‘passage’ - a projectile is an object that once given an initial thrust, it moves through the air only under the force of gravity
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).
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?
Example 1. The displacement (in suitable units) of a particle is given, for time 0, by =5 e−𝑡 Find: (a) the velocity and acceleration of the particle as a function of time; (b) the maximum distance from the origin; (c) the maximum speed. Example 2.
The object is called a projectile, and its path is called its trajectory. Air resistance is a frictional force that slows its motion and can significantly alter the trajectory of the motion. Due to the difficulty in calculation, only situations in which the deviation from projectile motion is negligible and air resistance can be ignored are ...
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.
