Question

If a car changes its velocity from 5 m/sec to 10 m/sec in 10 sec, then find

its acceleration.​

Answer 1

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★ Gɪᴠᴇɴ :-

• Initial velocity = 5 m/s
• Final velocity = 10 m/s
• Time taken to change velocity = 10s

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★ Tᴏ Fɪɴᴅ :-

• Acceleration of the car = ?

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★ Sᴏʟᴜᴛɪᴏɴ :-

As we know that

v = u + at

Where

• v → final velocity = 10 m/s
• u → initial velocity = 5 m/s
• a → acceleration = ?
• t → time taken = 10s

Note :-

• The initial velocity of the car will be 5 m/s because the car starts with a velocity 5m/s
• The final velocity of the car will be 10 m/s because the car ends with 10 m/s

Substituting the values we have

➵ 10 = 5 + a(10)

➵ 10 - 5 = 10a

➵ 5 ÷ 10 = a

➵ acceleration = 0.5 m/s²

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Hence , acceleration of the car is 0.5 m/s²

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Answer 2

Answer:

• Initial Velocity ( u ) = 5 m/s
• Final Velocity ( v ) = 10 m/s
• Time Taken ( t ) = 10 s
• Acceleration ( a ) = ?

☢ $\underline{\textsf{According to the Question :}}$

$:\implies\sf Acceleration=\dfrac{Final\: Velocity- Initial\: Velocity}{Time}\\\\\\:\implies\sf Acc^n=\dfrac{v-u}{t}\\\\\\:\implies\sf Acc^n = \dfrac{(10 - 5)}{10}\\\\\\:\implies\sf Acc^n = \dfrac{5}{10}\\\\\\:\implies\underline{\boxed{\sf Acc^n = 0.5 \:m \:s^{ - 2} }}$