Question

PLS HELP- A satellite can move at 17,000 miles per hour. How many hours will it take to reach a star that is three light years away? Recall that 1 light year = 9.5 ∙ 1012 kilometers and 1 kilometer = 0.62 miles. Show your work.

Answer 1

3.465 x 10⁸ hours

or

346,500,000 hours

Explanation:

Distance to travel to star = 9.5 x 10¹² kilometers

1 kilometer = 0.62mile

Therefore

9.5 x 10¹² km = 9.5 x x 10¹ x 0.6 miles
= 5.89 x 10¹² miles

Speed of satellite = 17,000 mph

In scientific notation
17,000 = 17 x 10³ = 1.7 x 10⁴ mph

Time taken to reach star at distance of 5.89 x 10¹² miles

= 5.89 x 10¹² miles/1.7 x 10⁴ mph = 5.89/1.7 x 10¹²/10⁴

= 3.465 x 10¹²⁻⁴

= 3.465 x 10⁸ hours

= 346,500,000 hours