Question

How many seconds will it take for a satellite to travel 15400 km at a rate of 2500 m/s?

Answer 1

hello

to solve this question, we need to know the relationship between distance, time and velocity

according to mechanics, velocity is the rate of distance covered with time

`\text{velocity = }(dis\tan ce)/(time)`

in this question, we should get some data before we can proceed

velocity = 2500m/s

distance = 15400km

time = ?

note: we have our distance in km unit and not m (metre). We'll need to convert the distance from km to m so as to have a unified data

according to metric table.

1km = 1000m

15400km = x

cross multiply both sides and make x the subject of formula

now, we already established that velocity is the ratio between distance and time

`\begin{gathered} \text{velocity = }\frac{dis\tan ce\text{ }}{time} \\ \frac{2500m}{s\text{ }}\text{ = }(15400000)/(time) \\ \text{time = }(15400000)/(2500) \\ \text{time = 6160s} \end{gathered}`

it'll take exactly 6160 seconds for the satallite to travel at the rate of 2500m/s