Physics, asked by Anonymous, 3 months ago

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Answers

Answered by Atαrαh
7

Solution :-

As per the given data ,

  • Initial velocity (u) = 10 m/s
  • Retardation (a) = - 1.25 m/s ²
  • Final velocity (v) = 0 m/s ( as it comes to rest )

As the car is moving with uniform acceleration throughout it's motion we can use the third equation of motion  to find distance and first equation of motion to find time

As per the third  equation of motion ,

➜ v² = u ² + 2as

On rearranging ,

➜ s = v² - u² / 2a

➜ s = 0 - 100 / - 2 x 1.25

➜ s = - 100 / - 2.5

➜ s = 40 m

The distance covered by the car is 40 m

Now ,

By using first equation of motion ,

➜ v = u + at

On rearranging ,

➜ t = v - u / a

➜ t = 0 - 10 / 1.25

➜ t = 8 sec

The time taken by the car to stop is 8 sec

Answered by Anonymous
12

Given :-

 \\

• Initial velocity (u) = 10 m/s

• Retardation (a) = - 1.25 m/s ²

• Final velocity (v) = 0 m/s

 \\

To Find :-

 \\

• Distance covered, s

• Time taken, t

 \\

Solution :-

 \\

\underline{\:\textsf{ Using  3rd equation of motion  :}}

\dashrightarrow \sf  v^2= u^2+2as\\ \\ \dashrightarrow \sf (0)^2= (10)^2+2\times -1.25\times s\\ \\ \dashrightarrow \sf 0= 100-2.5\times s\\ \\ \dashrightarrow \sf \cancel{\dfrac{100}{2.5}}= s\\ \\ \dashrightarrow \sf 40= s

 \\

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

\underline{\:\textsf{ Using  1st equation of motion  :}}

\sf  \dashrightarrow v = u + at \\\\ \sf  \dashrightarrow  t= \dfrac{v-u}{a} \\\\ \sf \dashrightarrow  t = \dfrac{0 - 10}{1.25} \\\\\\ \sf  \dashrightarrow a = \dfrac{-10}{1.25} \\\\ \sf   \dashrightarrow t = 8

 \\

\;\;\underline{\textbf{\textsf{ Hence-}}}

\underline{\textsf{  Time taken</p><p>\textbf{8 sec }}}.

\underline{\textsf{  Distance covered </p><p>\textbf{40m }}}.

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\;\;\underline{\textbf{\textsf{ Know  More:-}}}

 \\

(\bf 1st\:  equation  \: of  \: motion)

1.\boxed{\sf v = u + at}

(\bf 2nd \:  equation  \: of  \: motion)

 \\

2.\boxed{\sf s = ut + \frac{1}{2} at^{2}}

(\bf 3rd \:  equation  \: of  \: motion)

 \\

3.\boxed{\sf v^{2} - u^{2} = 2as}

Where,

›› s = Distance Covered

›› u = Initial Velocity

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