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# Motion in two dimensions

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### Motion in two dimensions

1. 1. 16. Motion in two dimensions Physics Grade 12Everything Science www.everythingscience.co.za
2. 2. 2Verticle projectile motionProjectiles are objects that move through the air.Objects that move up and down (vertical projectiles) on the earth accelerate with a constantacceleration g which is approximately equal to 9,8 m·s−2 directed downwards towards thecentre of the earth. photo by photohome.co.uk Everything Science www.everythingscience.co.za
3. 3. 3Equations of motionThe equations of motion can be used to solve vertical projectile problems. v f =v i g t  v i v f   x= t 2 1 2  x=v i t g t 2 2 2 v f =v i 2g  x Everything Science www.everythingscience.co.za
4. 4. 4Graphs of motionGraphs for vertical projectile motion are similar to graphs for motion at constantacceleration. If upwards is taken as positive the x vs t, v vs t ans a vs t graphsfor an object being thrown upwards look like this: Everything Science www.everythingscience.co.za
5. 5. 5Conservation of momentumMomentum is conserved in one and two dimensions p i =pf Everything Science www.everythingscience.co.za
6. 6. 6Types of collisions – elastic collisionsAn elastic collision is a collision where both momentum and kinetic energy is conserved. p i =p f p i1p i2=p f1pf2 KEi =KEf KE i1KE i2=KEf1KEf2 Everything Science www.everythingscience.co.za
7. 7. 7Types of collisions –inelastic collisionsAn inelastic collision is wheremomentum is conserved butkinetic energy is not conserved. p i =p f KE i ≠KEf Everything Science www.everythingscience.co.za
8. 8. 8 Frames of reference and relative velocity The frame of reference is the point of view from which a system is observedThe velocity of an object is frame dependent. More specifically, the perceived velocityof an object depends on the velocity of the observer. For example, a person standing onshore would observe the velocity of a boat to be different than a passenger on the boat. Everything Science www.everythingscience.co.za
9. 9. 9For more practice or to ask an expert for help on thissection see:www.everythingscience.co.zaESCCW Everything Science www.everythingscience.co.za