Question

please please help me with this i really need a answer as soon as possible thx

Answer 1

6. You visit the Royal Gorge Bridge near Canon City, Colorado. When walking across the bridge you nudge a small stone off the bridge deck and watch it fall. The distance the stone drops is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence.

Part I: How far does the stone fall during the fifth second? Find and use the explicit formula.


Part II: The table below shows the values in the sequence you already know. Use the explicit formula to complete the table for the first 10 seconds.
Sec 1 2 3 4 5 6 7 8 9 10
Feet 16 48 80 144





Part III: If the bridge is 1053 feet above the Arkansas River, about how long will it take before the stone hits the water? Explain your answer.

Answer 2

this is easy for me but idk it just sometimes confuses me

Answer 3

Well it appears to fall 32 ft/sec, because that's the difference between 80 and 48, and 48 and 16. So add 32 for each value. The equation for this is 16 + 32 (x-1), so equal that to 1053 and solve for x.