Answer:
a) 1.268×10⁻⁷ cm/sec
b) 40 km/million years.
Explanation:
Speed of tectonic plate = 4.0 cm/year
a) Convert the year to seconds
1 year = 365 days × 24 hours × 60 minutes × 60 seconds
⇒1 year = 31536000 seconds
So,
[tex]4\ cm/year = \frac{4}{31536000}\\\Rightarrow 4\ cm/year = \frac{1}{7884000}\\\Rightarrow 4\ cm/year = 1.268\times 10^{-7} cm/sec[/tex]
Distance plate will move in 1 second is 1.268×10⁻⁷ cm/sec
b) Convert cm to km
[tex]4\ cm=\frac{4}{10^{-5}}\ km[/tex]
So, in 1 year it will move 0.00004 km
Hence in 1 million years is will move
0.00004 × 10⁶ = 40 km/million years.
Speed in kilometers per million years is 40 km/million years.