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# KS-3-Spaceship

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BC: -Based on your answers to the above questions, in what domain do you think this quadratic function will give reasonable values for the distance? | The domain that will give reasonable values for the distance would be that x is greater than equal to -7. This is the minimum distance that the spaceship can be from Mars, which in reality, is embedded into the surface of the planet.

FC: Question 3: Spaceship Stroll | By: Kyle Simmons

1: Phobe Small is out Sunday driving in her spaceship. As she approaches Mars, she changes her mind, decides that she does not wish to visit that planet, and fires her retro-rocket. The spaceship slows down, and if all goes well, stops for an instant then starts pulling away. While the rocket motor is firing, Phoebe's distance, d, from the surface of Mars depends on the number of minutes, t, since she started firing the rocket. -Phoebe finds that at times t= 1,2, and 3 minutes, her distances are d=425,356, and 293 kilometers, respectively. Find the quadratic equation expressing d in terms of t. -Find the d-intercept and tell what this number represents in the real world. -According to the equation, where will Phoebe be when t=15? When t=16? Does this tell you she is pulling away from Mars as t=16, or still approaching? -Does your model tell you that Phoebe crashed into the surface of Mars, just touches the surface, or pulls away before reaching the surface? Explain. -Based on your answers to the above questions, in what domain do you think this quadratic function will give reasonable values for the distance? | Question 3

2: -Phoebe finds that at times t= 1, 2, and 3 minutes, her distances are d=425, 356, and 293 kilometers, respectively. Find the quadratic equation expressing d in terms of t. | y = 3x^2 + -78x + 500

3: -Find the d-intercept and tell what this number represents in the real world. | The d-intercept is the equivalence to the x-intercept. The number it represents in the real world is when the spaceship's distance is zero.

4: -According to the equation, where will Phoebe be when t=15? When t=16? Does this tell you she is pulling away from Mars as t=16, or still approaching? | When t=15, Phoebe will be 5 kilometers from the surface. When t=16, Phoebe will be 20 kilometers from the surface. This tells you that Phoebe is pulling away from Mars when t=16.

5: -Does your model tell you that Phoebe crashed into the surface of Mars, just touches the surface, or pulls away before reaching the surface? Explain. | This model tells you that Phoebe crashes into the surface of Mars because when t= 14,13,and 12, the distance is a negative number which means her spaceship went into the surface of the planet.

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• By: Kyle S.
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