Bài 9.a) Quãng đường vật rơi trong 3s đầu tiên:

              \(S_3=\dfrac{1}{2}gt^2=\dfrac{1}{2}\cdot9,8\cdot3^2=44,1\left(m\right)\)

              Quãng đường vật đi trong giây thứ 3 là:           \(S'=\dfrac{1}{2}gt^2-\dfrac{1}{2}g\left(t-1\right)^2=\dfrac{1}{2}\cdot9,8\cdot3^2-\dfrac{1}{2}\cdot9,8\cdot2^2=24,5\left(m\right)\)

Bài 10.

 a) Thời gian vật rơi khi chạm đất: \(t=\sqrt{\dfrac{2S}{g}}=\sqrt{\dfrac{2\cdot45}{10}}=3\left(s\right)\)

     Vận tốc vật khi chạm đất: \(v=g\cdot t=10\cdot3=30\)m/s

b) Quãng đường vật rơi trong giây cuối cùng:

   \(S=\dfrac{1}{2}gt^2-\dfrac{1}{2}g\left(t-1\right)^2=\dfrac{1}{2}\cdot10\cdot3^2-\dfrac{1}{2}\cdot10\cdot2^2=25\left(m\right)\)

Bài 11.

a) Quãng đường vật rơi trong 2s đầu tiên:

     \(S=\dfrac{1}{2}gt^2=\dfrac{1}{2}\cdot10\cdot2^2=20\left(m\right)\)

Ta có: \(\sqrt{\dfrac{3\sqrt{5}-1}{2\sqrt{5}+3}}-\sqrt{\dfrac{\sqrt{5}+11}{7-2\sqrt{5}}}\)

\(=\sqrt{\dfrac{\left(3\sqrt{5}-1\right)\left(2\sqrt{5}-3\right)}{11}}-\sqrt{\dfrac{\left(11+\sqrt{5}\right)\left(7+2\sqrt{5}\right)}{29}}\)

\(=\sqrt{\dfrac{11\cdot\left(30-9\sqrt{5}-2\sqrt{5}+3\right)}{121}}-\sqrt{29\cdot\left(\dfrac{77+22\sqrt{5}+7\sqrt{5}+20}{841}\right)}\)

\(=\dfrac{\sqrt{363-121\sqrt{5}}}{11}+\dfrac{\sqrt{2813+841\sqrt{5}}}{29}\)

\(=\dfrac{\sqrt{726-242\sqrt{5}}}{11\sqrt{2}}+\dfrac{\sqrt{5626+1682\sqrt{5}}}{29\sqrt{2}}\)

the man wants to know if there is a bank nearby

the man wanted to know if there was a bank nearby

Why did you stay at home?

Who are they waiting for?

What is she doing at the moment?

How did she go to Ha Noi? 

When does your father often watch TV?

she is interested in reading comic

Tomorrow in this time I wil be lieing on the beach

My car isn't as expensive as his

She has started live in Paris since 2005

A new dam will build near the rive next year

She is interested in reading comic.

Tomorrow in this time I wil be lying on the beach.

My car isn't as expensive as his.

She has started living in Paris since 2005.

A new dam will be built near the rive next year.

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3. am watching

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9. haven't bought

10. swim

1. used to

2. will be taking

3. am watching

4. will go

5. will be washing

6. will be replaced

7. do

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2. will be taking

3. will be watching

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5. will be washing

6. will be replaced

7. do

8. has visited

9. have not bought

10. swim

did - go

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take

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...eating lots of food, she is still very slim

...is it from Hanoi to HCM city?

...interested in English

...dance very well 

...the weather was bad, we went to school

...eating lots of food, she is still very slim