Question

4. Evaluate √2.2correct to two places of
decimal ​

Answer 1

Step-by-step explanation:

Given:-

A body is moving with a speed of 20 m/s. When a certain force is applied, an acceleration of 4 m/s² is produced.

To find:-

Time taken to become velocity 80 m/s.

Equation Used:-

{\boxed{\bf{First\: Equation\:of\:Motion:v=u+at}}}

FirstEquationofMotion:v=u+at

Here,

v = Final Velocity

u = Initial Velocity

a = Acceleration

t = Time taken

Solution:-

Using first equation of motion,

\sf :\implies\:v=u+at:⟹v=u+at

Here,

v = 80 m/s

u = 20 m/s

a = 4 m/s²

Putting values,

\sf :\implies\:80=20+4t:⟹80=20+4t

\sf :\implies\:4t=80-20:⟹4t=80−20

\sf :\implies\:4t=60:⟹4t=60

\sf :\implies\:t=\dfrac{60}{4}:⟹t=

4

60

\sf :\implies\:t=15\:sec:⟹t=15sec

Hence, It will take 15 sec to become velocity 80 m/s.

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Answer 2

Step-by-step explanation:

Given:-

A body is moving with a speed of 20 m/s. When a certain force is applied, an acceleration of 4 m/s² is produced.

To find:-

Time taken to become velocity 80 m/s.

Equation Used:-

{\boxed{\bf{First\: Equation\:of\:Motion:v=u+at}}}

FirstEquationofMotion:v=u+at

Here,

v = Final Velocity

u = Initial Velocity

a = Acceleration

t = Time taken

Solution:-

Using first equation of motion,

\sf :\implies\:v=u+at:⟹v=u+at

Here,

v = 80 m/s

u = 20 m/s

a = 4 m/s²

Putting values,

\sf :\implies\:80=20+4t:⟹80=20+4t

\sf :\implies\:4t=80-20:⟹4t=80−20

\sf :\implies\:4t=60:⟹4t=60

\sf :\implies\:t=\dfrac{60}{4}:⟹t=

4

60

\sf :\implies\:t=15\:sec:⟹t=15sec

Hence, It will take 15 sec to become velocity 80 m/s.

━━━━━━━━━━━━━━━━━━━━━━━━━

Answer 3

Step-by-step explanation:

Given:-

A body is moving with a speed of 20 m/s. When a certain force is applied, an acceleration of 4 m/s² is produced.

To find:-

Time taken to become velocity 80 m/s.

Equation Used:-

{\boxed{\bf{First\: Equation\:of\:Motion:v=u+at}}}

FirstEquationofMotion:v=u+at

Here,

v = Final Velocity

u = Initial Velocity

a = Acceleration

t = Time taken

Solution:-

Using first equation of motion,

\sf :\implies\:v=u+at:⟹v=u+at

Here,

v = 80 m/s

u = 20 m/s

a = 4 m/s²

Putting values,

\sf :\implies\:80=20+4t:⟹80=20+4t

\sf :\implies\:4t=80-20:⟹4t=80−20

\sf :\implies\:4t=60:⟹4t=60

\sf :\implies\:t=\dfrac{60}{4}:⟹t=

4

60

\sf :\implies\:t=15\:sec:⟹t=15sec

Hence, It will take 15 sec to become velocity 80 m/s.

━━━━━━━━━━━━━━━━━━━━━━━━━

Answer 4

Step-by-step explanation:

Given:-

A body is moving with a speed of 20 m/s. When a certain force is applied, an acceleration of 4 m/s² is produced.

To find:-

Time taken to become velocity 80 m/s.

Equation Used:-

{\boxed{\bf{First\: Equation\:of\:Motion:v=u+at}}}

FirstEquationofMotion:v=u+at

Here,

v = Final Velocity

u = Initial Velocity

a = Acceleration

t = Time taken

Solution:-

Using first equation of motion,

\sf :\implies\:v=u+at:⟹v=u+at

Here,

v = 80 m/s

u = 20 m/s

a = 4 m/s²

Putting values,

\sf :\implies\:80=20+4t:⟹80=20+4t

\sf :\implies\:4t=80-20:⟹4t=80−20

\sf :\implies\:4t=60:⟹4t=60

\sf :\implies\:t=\dfrac{60}{4}:⟹t=

4

60

\sf :\implies\:t=15\:sec:⟹t=15sec

Hence, It will take 15 sec to become velocity 80 m/s.

━━━━━━━━━━━━━━━━━━━━━━━━━