Question

A rocket ship travels 14,000 miles per hour. What is the rocket ship's velocity in m/s in correct scientific notation? (1 km = 0.62 mi) A. 6.3 × 10^3 m/s B. 0.627 × 10^3 m/s C. 630 × 10^6 m/s D. 6.3 × 10^5 m/s

Answer 1

Note that
1 km = 0.62 mi
Therefore
0.62 mi = 10³ m
1 mi = 1.6129 x 10³ m

Also,
1 h = 3600 s

The given speed is

`(14,000 \, (mi)/(h) )*( (1.6129 * 10^(3) \, m)/(mi) )*( (h)/(3600 \, s) ) = 6.27 * 10^(3) \, (m)/(s) \approx 6.3 * 10^(3) \, (m)/(s)`

Answer: A. 6.3 x 10³ m/s