1. Impulse and Momentum 1. Derive the Impulse formula using calculus.  p = p f – p i =  F dt 2. Use the Derivation to solve problems that relate to momentum, force and impulse 3. Create an Impulse- momentum AP Physics Problem.

2. Lesson 2 : Impulse and Momentum  F = d(mv) dt dp = dt dp = F dt Integrating F with respect to t,  p = p f – p i = F dt tftf  titi Impulse (J) F dt tftf  titi J =

3. Impulse – Momentum Theorem  p = p f – p i = F dt tftf  titi The impulse of the force F acting on a particle equals the change in the momentum of the particle. J =  p

4. Table of Indefinite Integrals

5. a. f(t) =6t 5 b.p’(t) =t 999 c. POWER RULE PRACRICE

6. a.If f(t) =6t 5, then J= t 6 b.If p’(t) =t 999, then P(t)= t 1000 /1000 c.If, then y = t 4 Solutions POWER RULE

7. Example Let p’(t) = 2t 3 + t = F(t) Then the Integral is ½ (t 4 + t 2 ) Yep it’s that simple……

8. Now you make up a function F(t) = Take the Integral J = Impulse