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
$(14,000 \, \frac{mi}{h} )*( \frac{1.6129 \times 10^{3} \, m}{mi} )*( \frac{h}{3600 \, s} ) = 6.27 \times 10^{3} \, \frac{m}{s} \approx 6.3 \times 10^{3} \, \frac{m}{s}$

Answer:  A. 6.3 x 10³ m/s