Respuesta :

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

[tex]\text{velocity = }\frac{dis\tan ce}{time}[/tex]

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

[tex]\begin{gathered} 1\operatorname{km}\text{ = 1000m} \\ 15400\operatorname{km}\text{ = x} \\ \text{cross multiply and make x the subject of formula} \\ 1\text{ }\times\text{ x = 1000 }\times\text{ 15400} \\ x\text{ = 15400000} \\ \text{therefore, 15400km = 15400000m} \end{gathered}[/tex]

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

[tex]\begin{gathered} \text{velocity = }\frac{dis\tan ce\text{ }}{time} \\ \frac{2500m}{s\text{ }}\text{ = }\frac{15400000}{time} \\ \text{time = }\frac{15400000}{2500} \\ \text{time = 6160s} \end{gathered}[/tex]

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