Question

The velocity of an object increases at a constant
rate from 20 m s-1 to 50 m s' in 10 s. Find the
acceleration​

Answer 1

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★ Gɪᴠᴇɴ :-

• Initial velocity = 20 m/s
• Final velocity = 50 m/s
• Time taken to change velocity = 10s

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★ Tᴏ Fɪɴᴅ :-

• Acceleration of the object

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★ Sᴏʟᴜᴛɪᴏɴ :-

Finding acceleration using first equation of motion .

v = u + at

Where

• v → final velocity = 50 m/s
• u → initial velocity = 20 m/s
• a → acceleration = ?
• t → time taken = 10s

Substituting the values we have ,

➵ 50 = 20 + a(10)

➵ 50 - 20 = 10a

➵ 30 = 10a

➵ a = 30 ÷ 10

➵ a = 3 m/s²

Hence , acceleration of the object is 3 m/s²

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Answer 2

Given:

initial velocity= u= 20m/s

final velocitu= v= 50m/s

time= t= 10s

━━━━━━━━━━━━━━━━━━

Need to Find:

Acceleration =?

━━━━━━━━━━━━━━━━━

Answer:

We know from 1st eq of motion:

v= u+ at

→ 50= 20+ a×10

→ 10a= 50-20 $m/s^{2}$

→ a= 30÷ 10 $m/s^{2}$

→ $\red{\bold{a=3m/s^{2}}}$

$\therefore$ Acceleration of the body is $\red{\bold{3m/s^{2}}}$