Question

If a roller coaster starts 12 meters above the ground and climbs 2 meters every second -s., the roller coaster’s height -ℎ. would be based on the equation ℎ = 2s 12. how long would it take to reach the top of the hill that is 80 meters above the ground?

Answer 1

It would take the roller coaster 34 seconds to reach the top of the hill that is 80 meters above the ground, using the equation h = 2s + 12 and solving for the time s.

Step-by-step explanation:

To determine how long it would take for the roller coaster to reach the top of the hill that is 80 meters above the ground, we can use the given equation h = 2s + 12, where h represents the height in meters, and s represents the time in seconds. We are given that the roller coaster starts 12 meters above the ground and climbs 2 meters every second. To find the time s when the roller coaster reaches 80 meters high, we set the equation equal to 80 meters:

80 = 2s + 12

Subtracting 12 from both sides gives us:

68 = 2s

Dividing both sides by 2 yields:

s = 34

Therefore, it would take the roller coaster 34 seconds to reach the top of the hill that is 80 meters above the ground.