Physics 103 Lecture 3 Position amp; Velocity with constant 物理103讲3位mp；速度常数.pptVIP

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Physics 103 Lecture 3 Position amp; Velocity with constant 物理103讲3位mp；速度常数.ppt

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Physics103Lecture3Position

2D motion: Displacement The position of an object is described by its position vector, The displacement of the object is defined as the change in its position * * Medical Physics, Winter 2013/14, Vita-Salute San Raffaele University 2D motion: Velocity and acceleration The average velocity is the ratio of the displacement to the time interval for the displacement The instantaneous velocity is the limit of the average velocity as Δt approaches zero The direction of the instantaneous velocity is along a line that is tangent to the path of the particle and in the direction of motion The average acceleration is defined as the rate at which the velocity changes The instantaneous acceleration is the limit of the average acceleration as Δt approaches zero Ways an object might accelerate: The magnitude of the velocity (the speed) can change The direction of the velocity can change Both the magnitude and the direction can change * * Medical Physics, Winter 2013/14, Vita-Salute San Raffaele University Kinematics in Two Dimensions x = x0 + v0xt + 1/2 axt2 vx = v0x + axt vx2 = v0x2 + 2ax Δx y = y0 + v0yt + 1/2 ayt2 vy = v0y + ayt vy2 = v0y2 + 2ay Δy x and y motions are independent! They share a common time t Medical Physics, Winter 2013/14, Vita-Salute San Raffaele University * * 2D motion: Projectile motion Dimensional Analysis: Strategy: Motion of a soccer ball Medical Physics, Winter 2013/14, Vita-Salute San Raffaele University * * Kinematics for Projectile Motion ax = 0 ay = -g x = x0 + vxt vx = v0x y = y0 + v0yt - 1/2 gt2 vy = v0y - gt vy2 = v0y2 - 2g Δy x and y motions are independent! They share a common time t Medical Physics, Winter 2013/14, Vita-Salute San Raffaele University * * Projectile Motion y ~ -x2, i.e. parabolic dependence on x Medical Physics, Winter 2013/14, Vita-Salute San Raffaele University * * Projectile Motion:Maximum height reachedTime taken for getting there Medical Physics, Winter 2013/14, Vita-Salute San Raffaele Unive