03-29-2014, 09:49 PM
Hello,
Here is a fairly straightforward brainteaser that I hope you find useful for trying out the features and Apps on the HP Prime. I'm not so interested in exact answers, but more-so how you used the Prime to get you there. I have found some ways to explore this numerically, algebraically and graphically - along with a few dead ends.
Information
Colonel Sanders needs to hit two targets at exactly the same time which are located on a hill almost 1km from his camp. He is down to one cannon and one aircraft, each with only one shell/bomb.
Cannon: Has one shell with a fixed 1000m max range and is located at fixed location (0,0)
Aircraft: Flying steady and level at 80m/s, 900m altitude and can drop one bomb
Targets: Two located at (range,elevation) of (700m,100m) and (900,100m)
Diagram Diagram...
Assume no air resistance and that the aircraft flys anyhow .
Question
Using the HP Prime, describe how the aircraft and cannon can be used to hit the two targets at exactly the same time.
Best,
Carl
Here is a fairly straightforward brainteaser that I hope you find useful for trying out the features and Apps on the HP Prime. I'm not so interested in exact answers, but more-so how you used the Prime to get you there. I have found some ways to explore this numerically, algebraically and graphically - along with a few dead ends.
Information
Colonel Sanders needs to hit two targets at exactly the same time which are located on a hill almost 1km from his camp. He is down to one cannon and one aircraft, each with only one shell/bomb.
Cannon: Has one shell with a fixed 1000m max range and is located at fixed location (0,0)
Aircraft: Flying steady and level at 80m/s, 900m altitude and can drop one bomb
Targets: Two located at (range,elevation) of (700m,100m) and (900,100m)
Diagram Diagram...
Assume no air resistance and that the aircraft flys anyhow .
Question
Using the HP Prime, describe how the aircraft and cannon can be used to hit the two targets at exactly the same time.
Best,
Carl