Motion

Late Start – When do they meet?  Red Guy runs 12 yd/sec  Blue Guy runs 8 yd/sec AND gets a 1 sec head start gets a 1 sec head start  When do they meet? Distance = ratetime Red Guy Blue Guy

t + 1 t D = D = Blue Guy t D = D = Red Guy timerate Distance = Solve the system of equations to find the distance where they meet AND the time they meet?

Airplane dilemma There & Back  SFO to Heathrow 10 hrs 25 min  Heathrow to SFO 11 hrs 40 min  Why are the times different?  Distance = rate x time  What else has to be different?  What effects the rate?  Is the distance different?

Kayaks There & Back  3 hours to go downstream  5 hours to go upstream  Why are the times different?  The current is 6 mph.  Write the speed for downstream _________________________  Write the speed for upstream _________________________ d= r t

Complete the table Distance = ratetime downstream upstream

Solve the system of equations Distanceratetime downstream upstream

You Try…  An airplane flew for 5 hours with a tail wind of 25km/h.  The return flight against the wind took 6 hrs  Find the speed of the airplane HINT: speed is rate HINT: speed is rate Distanceratetime Flight There Return Flight

Opposite Directions  Two trains leave town at the same time going opposite directions  Slow train is going 60 km/h  Fast train is going 120 km/h  In how many hours will they be 300 km apart? TOWN 300 kmFast TrainSlow Train

Solve the system DistanceRateTime Fast Train D fast 120t Slow Train D slow 60t Distance of Slow Trian plus Distance of Fast Train is t + 120t = t + 120t = 300