Question

An object starts motion initial velocity 10 metre/ second under the effect of retardation 4 m/s2 . Then the distance travelled by object in 3 second is 12 metre.



true
false ​

Answer 1

Answer

• The statement is false and the distance traveled will be 48 m

Explanation

Given

• Initial velocity = 10 m/s
• Retardation = 4 m/s²
• Time = 3 sec

To Find

• Distance Travelled

Formula Used

• s = ut+½at² [Second Equation of Motion]

Solution

✭ Distance Covered

→ s = ut+½at²

• u = Initial Velocity = 10 m/s
• t = Time = 3 sec
• a = Acceleration (Here Retardation/Negative Acceleration) = 4 m/s²
• s = Distance = ?

→ s = 10×3 + ½ × 4 × 3²

→ s = 30 + ½ × 4 × 9

→ s = 30 + 2×9

→ s = 30+18

→ s = 48 meter

Know More

Other equations of Motion!!

• v = u+at
• v²-u² = 2as

Answer 2

❏ REQUIRED ANSWER :

The above statement is false.

The correct answer will be 48 m.

❏ EXPLAINATION :

★ GIVEN :-

• Initial velocity (u) = 10 m/s

• Retardation (a) = 4 m/s²

• Time (t) = 3 sec

★ TO FIND :-

• Distance travelled (s)

★ SOLUTION :-

✰ By using :-

$➥ \large \underline{\boldsymbol \color{green}{Second~ equation ~ of ~ motion: -}}$

$\large\color{blue} { \boxed {\boxed{ \bf\color{blue}{ s\: =\: ut\: +\: ½\: at² }}}}$

✯ WHERE :

• s = distance covered

• u = initial velocity

• t = time

• a = retardation

━━━━━━━━━━━━━━━━━━━━━━━━━━

♣ Putting all values :

➙ s = (10 × 3) + ½ × 4 × 3²

➙ s = 30 + ½ × 4 × 9

➙ s = 30 + ½ × 36

➙ s = 30 + 18

➙ s = 48 ★

━━━━━━━━━━━━━━━━━━━━━━━━━━

⛬ the distance covered by the object = 48 m.

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✪ More information ✪

✦ First equation of motion :-

$\large\color{grey} { \boxed {\underline{ \bf\color{grey}{v =u + at }}}}$

Where :-

• v = final velocity

• u = initial velocity

• a = acceleration

• t = time taken

✦ Second equation of motion :-

$\large\color{grey} { \boxed {\underline{ \bf\color{grey}{ s\: =\: ut\: +\: ½\: at² }}}}$

Where :-

• s = distance covered

• u = initial velocity

• t = time taken

✦ Third equation of motion :-

$\large\color{grey} { \boxed {\underline{ \bf\color{grey}{ v²\: -\: u²\: =\: 2as}}}}$

Where :-

• v = final velocity

• u = initial velocity

• a = acceleration

• s = distance covered

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