E. a distance of 5 multiply 10^5 cm in 2 multiply 10^-5 seconds
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Answer:
The speed is 900,000,000 km/h
Step-by-step explanation:
The ratio of distance covered to time taken gives the speed of an object
[tex]Speed, \ v = \dfrac{Distance, \ d}{Time, \ t}[/tex]
Given that the distance covered, d = 5 × 10⁵ cm
The time to travel the given distance, t = 2 × 10⁻⁵ seconds
Therefore;
[tex]Speed, \ v = \dfrac{5 \times 10^{5} \ cm}{2 \times 10^{-5} \ s} = 2.5 \times 10 ^{10} \ cm/s[/tex]
In km/h, we have;
1 cm = 0.00001 km
∴ v = 2.5 × 10¹⁰ cm/s × 1 km/(100,000 cm) × 3,600 s/h = 900,000,000 km/h
The speed is 2.5 × 10¹⁰ cm/s or 900,000,000 km/h.