Answer: -
1) 8.33 minutes
2) 118.39 in/ s
180.43 m/min
10.83 km/ hr
Explanation: -
Speed of light = 3 x 10⁸ m/s
Distance of the earth from the sun= 93 million miles
We know 1 million = 1,000,000
Also 1 mile = 1609 m
Distance of the earth from the sun= 93 million miles
= 93,000,000 miles.
= 1.5 x [tex] 10^{11} [/tex] m
Time taken = [tex] \frac{Distance}{Speed} [/tex]
= [tex] \frac{1.5 x [tex] 10^{11} [/tex] m}{3 x 10⁸ m/s} [/tex]
= 500 s
= 500/ 60
= 8.33 minutes
2) Distance = 1 mile = 63360 inches
Time taken = 8.92 min
= 8.92 x 60
= 535.2 s
Speed = [tex] \frac{distance}{time} [/tex]
= [tex] \frac{63360 inches}{535.2 s} [/tex]
= 118.39 in/ s
Distance = 1 mile = 63360 inches = 63360 x 2.54 cm = 63360 x 2.54 x [tex] 10^{-2} [/tex] m
Time taken = 8.92 min
Speed = [tex] \frac{distance}{time} [/tex]
= [tex] \frac{63360 x 2.54 x [tex] 10^{-2} [/tex] m}{8.92 min} [/tex]
= 180.43 m/ min
1 m = 10⁻³ Km
1 min = 1/60 hour
1 m /min = 10⁻³ km/ [tex] \frac{1}{60 hour} [/tex]
= 60/1000
=0.06 km/hr
180.43 m / min = 180 x 0.06 km / hr
= 10.93 km / hr
