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3 years ago

Can someone please help me fill out this table

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

4 0

I thought I saw this one earlier and there were people answering. Guess not.

h(t) = 5 + 98t - 4.9t²

h(0) = 5 meters

h(5) = 5 + 98(5) - 4.9(5)² = 372.5 meters

h(10) = 5 + 98(10) - 4.9(10)² = 5 + 980 - 490 = 495 meters

h(15) = 5 + 98(15) - 4.9(15²) = 372.5 meters

h(20) = 5 meters

I'll leave the graphing to you, plot those points

(0,5), (5,372,5),(10,495),(15,372.5) (20,5)

and connect the dots

It's coming down pretty fast at 5 feet up 20 seconds. That last bit is 5/495 or 1% of the trip, so probably double the average speed of around 50m/s so 100msec or .05 sec to go 5 meters.

So it's in the ground at about 20.05 seconds after launch.

Answer: 20.05 meters

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