Question

║⊕QUESTION⊕║
“Wherever there is a number, there is beauty.” -Proclus
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CLASS 11
SEQUENCES AND SERIES
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A body falling freely from rest without resistance falls 16.1 m in the 1st second, 48.3m in the 2nd second, 80.5 m in the 3rd second and so on. Assuming that these distances continue to be in AP, how far does it fall in the 10 the second? How long will it take to fall through 7792.2 m?

Answer 1

Answer:

a) 305.9m

b) 242.49s

Step-by-step explanation:

Given

a=16.1

d=48.3-16.1=32.2

n=10

an=?

an=a+(n-1) d

a10=16.1+(10-1) 32.2

a10=305.9

next:

an=7792.2

d=32.2

a=16.1

n=?

an=a+(n-1) d

7792.2=16.1+(n-1) 32.2

7792.2-16.1=(n-1) 32.2

7776.1=(n-1) 32.2

n-1=7776.1÷32.2

n-1=241.5

n=242.5

therefore at 242.5 seconds it reach 7792.2 m...

Answer 2

Answer:

I HOPE IT'S HELP YOU

SORRY IF IN MY ANSWER ANY MISTAKE