Question

On a spacecraft sent to Mars to take pictures, the camera is trigered by radio waves, which, like all electromagnetic waves, travel with the speed of light. The speed of light is 3 × 108 m/s and the distance to Mars is 9.7 × 1010 m. What is the time delay between sending the signal from Earth and receiving the signal on Mars?

Answer 1

Kinematic equations of linear motion tell us that speed is equivalent to distance traveled over a period of time, that is

$v = \frac{x}{t}$

Here,

x = Distance

t = Time

Rearranging to find the time we have that,

$t = \frac{x}{v}$

The speed is equal to the speed of light ($3*10^8m/s$) and the distance (x) is ($9.7*10^{10} m$)

$t= \frac{9.7*10^{10} }{3*10^8}$

$t = 323.33s$

The time delay between sending the signal from Earth and receiving the signal on Mars is 323.33s

Answer 2

The time delay between sending the signal from Earth and receiving the signal on Mars is 323.33 s

What is speed?

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

How to determine the time

• Speed of light = 3×10⁸
• Distance = 9.7×10¹⁰ m

• Time =?

Speed = distance / time

3×10⁸ = 9.7×10¹⁰ / time

Cross multiply

3×10⁸ × time = 9.7×10¹⁰

Divide both side by 3×10⁸

Time = 9.7×10¹⁰ / 3×10⁸

Time = 323.33 s

Learn more about speed:

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