Chapter-3 Kinematics in Two Dimensions

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Presentation transcript:

Chapter-3 Kinematics in Two Dimensions

Displacement

Average Velocity Average velocity is the displacement divided by the elapsed time.

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Equations of Kinematics in One Dimension Kinematic equations for a one dimensional motion with constant acceleration are, v = v0 + at x = ½(v0 + v)t x = v0 t + ½at2 v2 = v02 + 2ax ; x = distance, a = acceleration, v = final velocity, v0 = initial velocity, t = travel time.

Kinematics Equations in 2 Dimensions

3.3 Projectile Motion Assumptions: 1. Air resistance is neglected 2. Gravity is constant, 9.8 m/s2, down. What is the launch angle for maximum range? http://phet.colorado.edu/simulations/sims.php?sim=Projectile_Motion

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Demonstration http://www.youtube.com/watch?v=cxvsHNRXLjw

Conceptual Example 4 Suppose you are driving in a convertible with the top down. The car is moving to the right at a constant velocity. As Figure 3.11 illustrates, you point a rifle straight upward and fire it. In the absence of air resistance, where would the bullet land—behind you, ahead of you, or in the barrel of the rifle?

Playing Shortstop A player picks up a ground ball and throws it horizontally with a speed of 24 m/s. It is caught after 0.42 s later at point B. a. How far apart are the two players? b. What is the distance of vertical drop, AB?