1. Diagram Blitz 3 GES 131 Draw Five Diagrams on Two Minutes Each

2. Directions Each slide will have a problem. You have 2 minutes to draw and label a diagram or diagrams that “tell the story” in a precise mathematical way. Do not solve the problems. After 2 minutes the slide will change.

3. Problem 1 Two trains are travelling towards each other on parallel tracks. Train A is ½ mile long and travels at 20 mph. Train B is 1/3 mile long, and travels at 30 mph. How long does it take the trains to pass each other from the instant the engines meet to the instant the cabooses pass each other?

4. Problem 2 Two tanks of water, A and B, both initially contain 8 gallons of water. Water flowing out of tank A flows into tank B. Water flowing out of tank B goes down a drain. Water flows out of tank A at 4 gal/min, and out of tank B at 2 gal/min. Find a mathematical expression for the amount of water in tank B as a function of time for 15 minutes.

5. Problem 3 At the Hamburger Express, 10” plates with hamburgers are delivered by electric trains on a circular track with radius 10 feet. Two trains carrying plates start at opposite points on the track and travel toward each other at the same speed. How far will each train travel before the plates collide?

6. Problem 4 An observer on the ground spots a helicopter above him and a little to the right. He sees the helicopter at an angle of 87 o from horizontal. He steps 20 feet to the right, and sees the helicopter above him and a little to the left at an angle of 89 o from horizontal. How high is the helicopter above the observer.

7. Problem 5 A backbacker walks at a pace of 1 mph for 2 hours. She takes a 30 minute rest, then walks for 1 more hour at 1.5 mph. Find a mathematical expression for how far she has walked as a function of time.

8. Diagram Blitz 3 GES 131 Draw Five Diagrams on Two Minutes Each

9. Problem 1 Two trains are travelling towards each other on parallel tracks. Train A is ½ mile long and travels at 20 mph. Train B is 1/3 mile long, and travels at 30 mph. How long does it take the trains to pass each other from the instant the engines meet to the instant the cabooses pass each other? 1/2 1/3 1/2 20 mph 30 mph

10. Problem 2 Two tanks of water, A and B, both initially contain 8 gallons of water. Water flowing out of tank A flows into tank B. Water flowing out of tank B goes down a drain. Water flows out of tank A at 4 gal/min, and out of tank B at 2 gal/min. Find a mathematical expression for the amount of water in tank B as a function of time for 15 minutes. Va Vb Va Vb Start 0 < t < 2 sec t > 2 sec

11. Problem 3 At the Hamburger Express, 10” plates with hamburgers are delivered by electric trains on a circular track with radius 10 feet. Two trains carrying plates start at opposite points on the track and travel toward each other at the same speed. How far will each train travel before the plates collide? 10’ 20” θ s 5π-s/2

12. Problem 4 An observer on the ground spots a helicopter above him and a little to the right. He sees the helicopter at an angle of 87 o from horizontal. He steps 20 feet to the right, and sees the helicopter above him and a little to the left at an angle of 89 o from horizontal. How high is the helicopter above the observer. h 20’ 87 o 89 o

13. Problem 5 A backbacker walks at a pace of 1 mph for 2 hours. She takes a 30 minute rest, then walks for 1 more hour at 1.5 mph. Find a mathematical expression for how far she has walked as a function of time. d = t, t < 2 d = 2, 2 < t < 2.5 1.5(t-2.5) d = 2+1.5(t-2.5), t > 2.5