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Long Trips at Constant Acceleration: Earth Time. Suppose you stay on Earth and watch a spaceship leave on a long trip at a constant acceleration of lg. a. At an acceleration of 1g, approximately how long will it take before you see the spaceship traveling away from Earth at half the speed of light? Explain. (Use g = 9.8 m/s².) b. Describe how you will see its speed change as it con- tinues to accelerate. Will it keep gaining speed at a rate of 9.8 m/s each second? Why or why not? c. Suppose the ship travels to a star that is 500 light-years away. From your perspective on Earth, approximately how -long will this trip take? Explain.

Long Trips at Constant Acceleration: Earth Time. Suppose you stay on Earth and watch a spaceship leave on a long trip at a constant acceleration of lg. a. At an acceleration of 1g, approximately how long will it take before you see the spaceship traveling away from Earth at half the speed of light? Explain. (Use g = 9.8 m/s².) b. Describe how you will see its speed change as it con- tinues to accelerate. Will it keep gaining speed at a rate of 9.8 m/s each second? Why or why not? c. Suppose the ship travels to a star that is 500 light-years away. From your perspective on Earth, approximately how -long will this trip take? Explain.

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5. Long Trips at Constant Acceleration: Earth Time. Suppose you stay on Earth and watch a spaceship leave on a long trip at a constant acceleration of 1g. a. At an acceleration of 1g, approximately how long will it take before you see the spaceship traveling away from Earth at half the speed of light? Explain. (Use g = 9.8 m/s².) b. Describe how you will see its speed change as it con- tinues to accelerate. Will it keep gaining speed at a rate of 9.8 m/s each second? Why or why not? c. Suppose the ship travels to a star that is 500 light-years away. From your perspective on Earth, approximately how -long will this trip take? Explain.
Transcribed Image Text:5. Long Trips at Constant Acceleration: Earth Time. Suppose you stay on Earth and watch a spaceship leave on a long trip at a constant acceleration of 1g. a. At an acceleration of 1g, approximately how long will it take before you see the spaceship traveling away from Earth at half the speed of light? Explain. (Use g = 9.8 m/s².) b. Describe how you will see its speed change as it con- tinues to accelerate. Will it keep gaining speed at a rate of 9.8 m/s each second? Why or why not? c. Suppose the ship travels to a star that is 500 light-years away. From your perspective on Earth, approximately how -long will this trip take? Explain.
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