Presentation Transcript

1. Kinematics Equations

2. Kinematics Equations used to describe& representthe motion of objectsare known as kinematic equations. Quantities used in Kinematic Equations d = Displacement t = Time vf = Final velocity vi = Initial velocity (vo) a = Acceleration

3. Acceleration Equation a = v t a = Vf- Vi t Units are m/s2 (distance / time2)

4. Acceleration Equation a= acceleration Vf= Final Velocity Vi = Initial Velocity D= displacement ∆= Change in *Use this equation when you have no t*

5. Ms. Frazier makes a joke about French Canadians in the middle of Whole Foods. A visitor from Quebec, standing 5 meters away, overhears the joke and throws a baguette at Ms. Frazier’s head. If the baguette started at 5 m/s and ended at 10 m/s, how fast did the baguette accelerate toward Ms. Frazier’s noggin’? = (10 m/s)2 – (5 m/s) 2 2(5m) = 100 m2/s2 – 25 m2/s2 10 m =75 m2/s2 10 m = 7.5 m/s2 What we know Vf= 10 m/s Vi= 5 m/s D = 5 meters Term to find out a = acceleration The Formula we will use

6. Displacement Equation d= displacement Vi = initial velocity T = time A = acceleration * Use this equation when you have no Vf*

7. A car traveling at 40 m/s accelerates at 10 m/s2 for 5 seconds. How far did the car move during this time? = (40 m/s)(5 seconds) + (5 seconds) = (200m) + (25 seconds = (200m) + (125 m) =325meters What we know a = 10 m/s2 Vi= 40 m/s t = 5 seconds Term to find out D = distance The Formula we will use

8. Final Velocity Equation Vf= Vi + at Vf= Final Velocity Vi= Initial Velocity a= Acceleration t= Time * Use this equation when you have no Vf*

9. A cart rolling down an incline for 5.0 seconds has an acceleration of 4.0 m/s2. If the cart has a beginning speed of 2.0 m/s, what is its final speed? What we know Vi= 2.0 m/s a= 4.0 m/s2 t= 5.0 s = (2.0 m/s) + (5.0 s) = 2.0 m/s + = 22 meters/seconds Term to find out Vf= Final Velocity The Formula we will use

10. Final Velocity Equation Vf2= Vi2+ 2ad Vf= Final Velocity Vi= Initial Velocity a= Acceleration d= displacement * Use this equation when you have no t*

11. Crusty the Clown gets shot 35 meters out of a cannon and into a vat of Jell-O. If Crusty accelerated at 5 m/s2 and his initial velocity was 0 m/s, what was the velocity of Crusty when he hit the Jell-O? What we know Vi= 0 m/s a= 5 m/s2 D = 35 m = (0 m/s)2 + (35m) = 0 m2/s2+ 2 = 2 = 18.71 m/s Term to find out Vf= Final Velocity The Formula we will use

12. Kinematic Equations • * NO “t” • * NO “Vf” • Vf= Vi + at * NO “d” • Vf2= Vi2 + 2ad * NO “t”