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# Pva index cards

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### Pva index cards

1. 1. Average Velocity
2. 3. Average Acceleration
3. 5. Velocity at a specific time?
4. 6. • Instantaneous Derivative of position and plug in the time • Units: m/s, ft/s, etc.
5. 7. Acceleration at a specific time?
6. 8. • Instantaneous Derivative of velocity (second derivative of position) and plug in the time • Units: m/s 2 , ft/s 2 , etc.
7. 9. How long has an object been in the air?
8. 10. • Looking for t and talking about position •Set s(t) or position = 0, solve for t (this finds when the object was on the ground) •If you know when the object is on the ground you can determine how long it is in the air!
9. 11. Initial Position or Velocity or Acceleration
10. 12. • Initial = from the START! So t=0 •Plug in 0 in for the appropriate equation
11. 13. Maximum Height? (for projectile motion/object projected into the air)
12. 14. • Velocity = 0 at the max height (slope of the tangent line is 0, slope goes from + to – or – to +) •So find t by setting velocity equal to 0 and then plug in t into position to determine the height
13. 15. When is the object at rest?
14. 16. • Same as max height time (velocity is 0, no movement) •Velocity = 0, solve for t
15. 17. What is the velocity when the object hits the ground (impact velocity)?
16. 18. • Looking for v(t), but you need a time first (time when the object hits the ground) •Set s(t) or position = 0, solve for t (this finds when the object was on the ground) •Now plug in t into v(t)
17. 19. Displacement
18. 20. • Final Position – Initial Position (make sure to indicate direction, left/right, etc.)
19. 21. Speed
20. 22. • |v(t)| • magnitude of velocity
21. 23. Total Distance
22. 24. • Determine the starting and ending positions •Find when the object changes direction (v(t)=0 and solve for t) •Then find the distance traveled for each section and add them together