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Answers
Answer:
answer
Explanation:
option b is the correct answer
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Given
✭ Initial Velocity (u) = 72 km/h
✭ Final Velocity (v) = 18 km/h
✭ Distance (s) = 20 m
\displaystyle\large\underline{\sf\blue{To \ Find}}
To Find
◈ The Deceleration of the car?
\displaystyle\large\underline{\sf\gray{Solution}}
Solution
So here Deceleration means negative Acceleration that is the acceleration is in the opposite direction to the motion and so that it's Speed reduces
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\underline{\bigstar\:\textsf{According to the given Question :}}
★According to the given Question :
So here we shall use the third Equation of motion, that is,
\displaystyle\sf \underline{\boxed{\sf v^2-u^2 = 2as}}
v
2
−u
2
=2as
v = 18 km/h
u = 72 km/h
s = 20 m
So we see that the speeds are in km/h so on converting them,
➝ \displaystyle\sf v = 18\times \dfrac{5}{18}v=18×
18
5
➝ \displaystyle\sf \purple{Final \ Velocity = 5 \ m/s}Final Velocity=5 m/s
»» \displaystyle\sf u = 72\times \dfrac{5}{18}u=72×
18
5
➝ \displaystyle\sf \orange{Initial \ Velocity = 20 \ m/s}Initial Velocity=20 m/s
Now the Deceleration will be,
➳ \displaystyle\sf v^2-u^2 = 2asv
2
−u
2
=2as
➳ \displaystyle\sf 5^2-20^2 = 2\times a\times 205
2
−20
2
=2×a×20
➳ \displaystyle\sf 25-400 = 40a25−400=40a
➳ \displaystyle\sf -375 = 40a−375=40a
➳ \displaystyle\sf \dfrac{-375}{40} = a
40
−375
=a
➳ \displaystyle\sf \pink{Deceleration = 9.375 \ m/s^2}Deceleration=9.375 m/s
2
\displaystyle\sf \underline{\therefore Answer \ is \ Option \ A}
∴Answer is Option A
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