The **time **it will take for the shock **wave **in years to sweep through the cloud is **3.2075 x 10⁷ years.**

<h3>What is Velocity?</h3>

**Velocity **is the **directional **speed of a moving object as an indicator of its rate of change in location as **perceived** from a certain frame of **reference **and **measured **by a specific time standard.

As it is known that one **parsec **is equal to 3.086×10¹⁶ meters. Therefore, the **diameter **of the **molecular **cloud is,

**Diameter **of the molecule = 59 pc

= 59 × 3.086×10¹⁶ meters

= 1.82074 × 10¹⁸ meters

= 1.82074 × 10¹⁵ kilometres

Given that the **shock wave **sweeps through at 18 km/s. And as it is known that velocity is the ratio of **distance **and time. Therefore, the **time **it will take for the **shock wave **to sweep through the **molecule **cloud is,

**Velocity **= Distance / Time

18 km/s = 1.82074 × 10¹⁵ km / Time

Time = 1.82074 × 10¹⁵ km / 18 km/s

t = 1.01152x10¹⁴ seconds

Since one **year **is equal to 31,536,000 **seconds**, therefore, the time in years is equal to,

t = 1.01152x10¹⁵ seconds / 31,536,000 **seconds **per year

t = 32,075,088.79 years

t = 3.2075 x 10⁷ years

Hence, the **time **it will take for the shock **wave **in years to sweep through the cloud is **3.2075 x 10⁷ years.**

Learn more about **Velocity **here:

brainly.com/question/18084516

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