Presentation on theme: "Kinematics in Two Dimensions"— Presentation transcript:
1 Kinematics in Two Dimensions Chapter 3Kinematics in Two Dimensions
2 GT Homework 2012The treasure map in the figure gives the following directions to the buried treasure: “Start at the old oak tree, walk due north for 540 paces, then due east for 110 paces. Dig.” But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle 60o EN. After walking 400 paces you see an opening through the woods.In which direction and how far do you need to go to get to the treasure from there?
3 Average velocity is the displacement divided bythe elapsed time.
7 Example 11 Crossing a River The engine of a boat drives it across a river that is 1800m wide.The velocity of the boat relative to the water is 4.0m/s directedperpendicular to the current. The velocity of the water relativeto the shore is 2.0m/s.(a) What is the velocity of theboat relative to the shore?(b) How long does it take forthe boat to cross the river?
16 Conceptual Example 5 I Shot a Bullet into the Air... 3.3 Projectile MotionConceptual Example 5 I Shot a Bullet into the Air...Suppose you are driving a convertible with the top down.The car is moving to the right at constant velocity. You pointa rifle straight up into the air and fire it. In the absence of airresistance, where would the bullet land – behind you, aheadof you, or in the barrel of the rifle?
18 Example 6 The Height of a Kickoff 3.3 Projectile MotionExample 6 The Height of a KickoffA placekicker kicks a football at and angle of 40.0 degrees andthe initial speed of the ball is 22 m/s. Ignoring air resistance,determine the maximum height that the ball attains.
21 Conceptual Example 10 Two Ways to Throw a Stone From the top of a cliff, a person throws two stones. The stoneshave identical initial speeds, but stone 1 is thrown downwardat some angle above the horizontal and stone 2 is thrown atthe same angle below the horizontal. Neglecting air resistance,which stone, if either, strikes the water with greater velocity?