Displacement and Velocity.  Distance: the total length of the path taken to move from a starting point to an ending point, regardless of how many turns.

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Presentation transcript:

Displacement and Velocity

 Distance: the total length of the path taken to move from a starting point to an ending point, regardless of how many turns and changes of direction occur. (scalar quantity)  Displacement: The length of a straight line path between a starting point and an ending point. (vector quantity)  The change in position between an object’s initial position and final position.

Distance from Skyline to the airport = 41.2 km, according to Google Maps. Displacement is much less…

 Average Speed: the rate at which a distance is traveled:  In this case, d represents a TOTAL DISTANCE covered in a total time, t  Units for average speed = m∙s -1

 Average Velocity: the rate of a change in position.  In other words…the rate at which a DISPLACEMENT is traveled:  d in this case represents DISPLACEMENT

275 m 70.0 mi/h  While chasing an impala, a Cheetah runs 275 m at an average speed of 70.0 mi/h. Assuming that the impala is caught at the end of the 275 m, how much time elapses between when the cheetah begins its sprint and when he catches his prey?

 A right-handed baseball player hits a home run and takes 25.0 s to jog around the bases. Assume that the total distance he runs is 115 m (he rounds the bases widely).  What is his average speed for his trip around the bases?  What, approximately, is his average velocity?

 Average velocity will be used to describe the total displacement traveled in a total amount of time  Instantaneous velocity describes how fast an object is traveling at one given instant of time.  Examples:  The most common instantaneous velocities we will be using this year are:  Initial Velocity (v i or v 0 or u)  Final Velocity (v f or v)

 The velocity of one object relative to another’s point of view  Reference Frame: the frame of reference for the observer’s point of view—the observer will always be at rest in his/her frame of reference  Relative velocity of an object moving relative to an observer is determined by subtracting vectors

 The second vector quantity’s direction is 180° from it’s given direction  Once you’ve altered the direction, it becomes basic vector addition

 What is the velocity of: 1. Car B relative to A? 2. Car C relative to A? 3. Car C relative to B? 4. Car B relative to C? 5. Car A relative to C? 6. Car A relative to B?

 Car P moves to the left with a speed of 40.0 km·h -1 (with respect to the road) and Car Z moves to the right with a speed of 60.0 km·h -1 (with respect to the road). Find the velocity of car Z relative to car P.