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The GPS calculates the distance d from a GPS satellite to a receiver by multiplying the speed c of a GPS signal by the time △t the signal takes to travel from satellite to receiver: d=cΔt. Let Δt=0.068503387
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The GPS calculates the distance d from a GPS satellite to a receiver by multiplying the speed c of a GPS signal by the time △t the signal takes to travel from satellite to receiver: d=cΔt. Let Δt=0.068503387 s

(a) Calculate d using all the digits in Δt and c

User CedricB
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Final answer:

To calculate the distance d from a GPS satellite to a receiver, multiply the speed of light c by the time Δt the signal takes to travel. With c=3.00 × 108 m/s and Δt=0.068503387 s, d equals approximately 2.05510161 × 107 meters.

Step-by-step explanation:

The question is asking to calculate the distance d from a GPS satellite to a receiver by using the formula d=cΔt, where Δt is the time taken for the signal to travel and c is the speed of the signal. The speed of light (and of a GPS signal in a vacuum) is approximately 3.00 × 108 m/s, which is necessary for this calculation.

Using the given Δt of 0.068503387 seconds and knowing that the speed of light c is 3.00 × 108 m/s, we can find the distance:

d = cΔt
d = (3.00 × 108 m/s)(0.068503387 s)
d ≈ 2.05510161 × 107 meters,

which is the distance the signal traveled from the GPS satellite to the receiver.

User Eric Jorgensen
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