The space probe Juno is in orbit around the planet Jupiter and sending images and data back to earth with a spe x 105 km/s. Calculate how much time it takes for Juno's signals to arrive at Earth for the shortest possible dista between Jupiter and Earth. Earth's and Jupiter's distances from the Sun are 1.000 AU and 5.203 AU, respective that 1 AU= 1.5 x 108 km. Give the answer in minutes. Be sure to show all your work. Hint: We will break dow task into smaller chunks: a) Calculate shortest Jupiter-Earth distance in AU, then convert to km. b) Solve dvt for time.. c) Plug distance from a) into time formula from b) and calculate travel time of signal in seconds.

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Chapter1: Units, Trigonometry. And Vectors
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The space probe Juno is in orbit around the planet Jupiter and sending images and data back to earth with a speed of 3
x 105 km/s. Calculate how much time it takes for Juno's signals to arrive at Earth for the shortest possible distance
between Jupiter and Earth. Earth's and Jupiter's distances from the Sun are 1.000 AU and 5.203 AU, respectively. Note
that 1 AU= 1.5 x 108 km. Give the answer in minutes. Be sure to show all your work. Hint: We will break down this
task into smaller chunks:
a) Calculate shortest Jupiter-Earth distance in AU, then convert to km.
b) Solve d = vt for time.
c) Plug distance from a) into time formula from b) and calculate travel time of signal in seconds.
d) Convert from seconds to minutes.
Transcribed Image Text:The space probe Juno is in orbit around the planet Jupiter and sending images and data back to earth with a speed of 3 x 105 km/s. Calculate how much time it takes for Juno's signals to arrive at Earth for the shortest possible distance between Jupiter and Earth. Earth's and Jupiter's distances from the Sun are 1.000 AU and 5.203 AU, respectively. Note that 1 AU= 1.5 x 108 km. Give the answer in minutes. Be sure to show all your work. Hint: We will break down this task into smaller chunks: a) Calculate shortest Jupiter-Earth distance in AU, then convert to km. b) Solve d = vt for time. c) Plug distance from a) into time formula from b) and calculate travel time of signal in seconds. d) Convert from seconds to minutes.
a) d = aJupiter - ªEarth =
d=
b) t =
km
AU
expressed in terms of d and v
d) convert to min: t =
c) plug distance from a) into equation from b): t =
min
Transcribed Image Text:a) d = aJupiter - ªEarth = d= b) t = km AU expressed in terms of d and v d) convert to min: t = c) plug distance from a) into equation from b): t = min
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