Uniformly Accelerated Motion

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1D & 2D Kinematics: Uniformly Accelerated Motion Objectives to describe, with graphs and equations, the motion of the ball on the inclined ramp, the horizontal track, and as a projectile. to investigate how the acceleration of an object relates to the angle of an inclined ramp for linear motion Materials and Equipment 1. One Toy Car 2. One Wooden Board (one meter long) 3. One Adjustable Ladder 4. One Stop Watch 5. One Meter Ruler Background The complete description of motion includes a discussion of the position, velocity, and acceleration of an object at each point in time. The displacement of an object is the change in its position. The velocity of an object is the rate of change of its position. Velocity includes not only the magnitude of that rate of change but also the direction. The acceleration is the direction and rate of change of the velocity of the object. These relationships can be represented graphically. The velocity can be obtained by finding the slope of the graph of position as a function of time. The acceleration can be obtained by finding the slope of the graph of velocity as a function of time. The critical concepts are contained in the equations for motion with constant acceleration in one dimension, as follows: x=x0+vxot+1/2axt2 Equation 1 vx=vx0+axt Equation 2 In these equations, x is the position at time t andx0 is the position at time t=0 of the object; vxis the velocity of the object along the direction of motion, x, at time t, and is the velocity of the object along the direction of motion, x, at time t=0 ; and ax is the acceleration of the object along the direction of motion, x. Uniformly accelerated linear motion is all around us. Architects often consider the safety of the slides by simulating and calculating the acceleration of a child slides down. Ecologists often interested in the acceleration

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