Lab3.docx - Phy2053L Projectile motion Lab with simulator...

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Phy2053L. Projectile motion Lab with simulator. Name: Lea Ishkhanova Date: 4 th of February, 2021 Projectile Motion The purpose of this lab is to study the properties of projectile motion. From the motion of a cannon ball for a given initial velocity, the projectile range will be measured for various initial angles, typical case of motion with constant acceleration only in one dimension. For further background information, refer to the sections in your textbook on projectile motion and motion with constant acceleration. Theory Case I, (corresponding to the tab INTRO in the simulator), we released a ball from altitude y, with horizontal initial velocity v ox . Projectile motion is defined as a motion which can be broken up into its x and y components, since the motion is in a plane. If we neglect air resistance, the acceleration in the y direction is g , due to gravity. The acceleration in the x direction is zero. Hence, the vector equation (1) becomes two scalar equations, assuming our system of reference is in the top: x = v 0 x t (1) y = v 0 y t + 1 2 gt 2 (2) In terms of the angle θ , and the initial speed v o , the initial velocity components are v 0 x = v 0 cos θ and v 0 y = v 0 sin θ ( 3 )
For case I in which θ = 0 (initial velocity is horizontal), Eqs. (2) and (3) become x = v 0 t and y = 1 2 gt 2 (4) When the object hits the floor the x and y positions are x = R and y = h. Hence, Eq. (5)