 Little Bonnie is playing with blocks in her room. She decides to stack up all the blocks so that each row has one less block than the row below. Tricia has fifty-five blocks total and she wants to end up with just one block on top.  How many should she put on the bottom row? Brainteaser – Do Now

Kinematics

 Deals with the motion of objects without reference to the forces that cause the motion.  Scalar: A quantity (such as mass, length, weight, speed) that is completely described by its magnitude and has no direction.  g, 15m/s, 125 miles  Vector: A quantity possessing both magnitude and direction.  15m/s North, -32 feet, 180°  Often represented by an arrow-tipped line segment.  The length of the segment represents the magnitude of the vector.  The direction of the arrow represents the direction of the vector. What are Kinematics?

 Distance: The total length of a path that an object travels.  Scalar  Displacement: The shortest length between an object’s start and endpoints, as well as the direction of motion.  Vector Haw far did it go?

 First vector is placed on a number line with the tail of the vector on the origin.  Second vector is placed with its tail exactly on the arrowhead of the first vector.  The sum of the 2 vectors (resultant) is the vector that begins at the origin and ends at the arrowhead of the final added vector.  Example: Vector A has a magnitude of 11 and Vector B has a magnitude of 2. What is the resultant? Adding Vectors in One Dimension - Graphically

Adding Vectors in One Dimension - Arithmetically (-13) 45 13

 Same as adding vectors in one dimension.  The resultant is the is the vector that begins at the origin and ends at the arrowhead of the final added vector.  HOWEVER: This looks different!  Example: A person walked 90 m East then 50 m North. What was their distance walked? What was their displacement? Adding Vectors in 2 Dimensions - Geometrically

 Example: A person walked 90 m East then 50 m North. What was their distance walked? What was their displacement?  Pythagorean Theorem says a 2 + b 2 = c 2  So, = ? Adding Vectors in 2 Dimensions - Geometrically

Joe walked 45 meters to the west, then he turned left and walked 22 meters to the south. How far did Joe walk? What was his displacement? Adding Vectors in 2 Dimensions - Geometrically

  Let’s do some practice problems in Kinematics.  You will probably have a short quiz at the end of next class on this. Kinematics Math Practice

  Pace Count:  Walk 10 steps, measure the distance in m, divide by 10 to find your pace.  Do this 2 more times. Find your average pace.  Next time make sure you have your phone with a COMPASS on it. Treasure Hunt Prep