Starting from rest, Raju attains a velocity of $ 24\text{ m/s}... | General Science MCQ | Examoogle

General SciencePrevious Year Paper 2024

Starting from rest, Raju attains a velocity of $24\text{ m/s}$ in a minute with his bicycle. The acceleration of the bicycle is:

$0\text{ m/s}^2$

$0.6\text{ m/s}^2$

$0.4\text{ m/s}^2$

$0.2\text{ m/s}^2$

Correct Answer

🔬 SC • Science Concept & PrincipleGeneral SciencePrevious Year Paper 2024

Option C

$0.4\text{ m/s}^2$

Quick Summary:

Acceleration is defined as the rate of change of velocity over time. To find the acceleration, we divide the final velocity by the total time taken since the object starts from rest.

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🔬SCScience SolutionConcept & Principle

💡 Explanation

Acceleration is defined as the rate of change of velocity over time. To find the acceleration, we divide the final velocity by the total time taken since the object starts from rest.

💡 Everyday Analogy (Real-World Intuition)

Just as a car slowly gaining speed as you press the accelerator pedal, Raju is increasing his velocity steadily over the course of one minute.

🔢 Key Formulas

$a = \frac{v - u}{t}$ — kinematic equation for acceleration

$1\ \text{min} = 60\ \text{s}$ — conversion factor for time

⚙️ Working Principle

Acceleration is determined by the formula $a = \frac{v - u}{t}$ . Given the initial velocity $u = 0\ \text{m/s}$ , final velocity $v = 24\ \text{m/s}$ , and time $t = 1\ \text{minute} = 60\ \text{seconds}$ , the calculation becomes $a = \frac{24 - 0}{60}$ .

📌 Key Points

▸
Initial velocity ( $u$ ) is $0\ \text{m/s}$ because the object starts from rest.
▸
Time must be expressed in standard SI units (seconds) to obtain the result in $\text{m/s}^2$ .
▸
Positive acceleration signifies an increase in speed over time.

🛠️ Applications / Uses

▸
Calculating kinematics of vehicles
▸
Understanding motion in physics

📄 Additional Information

▸
Calculation: $a = \frac{24}{60} = \frac{4}{10} = 0.4\ \text{m/s}^2$ .
▸
Option A ( $0\ \text{m/s}^2$ ) represents constant velocity (zero acceleration).
▸
Option B ( $0.6\ \text{m/s}^2$ ) results from miscalculating the time or division.
▸
Option D ( $0.2\ \text{m/s}^2$ ) results from using the wrong conversion factors.

📊 Diagram / Illustration

✅

C is correct — The acceleration is calculated by dividing the final velocity $24\ \text{m/s}$ by the time $60\ \text{s}$ , resulting in $0.4\ \text{m/s}^2$ .

Core Concepts Used

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Kinematics Acceleration SI Units

💡 EXAM TIP

Always ensure your time units are in seconds when calculating acceleration involving $\text{m/s}$ , as mismatches between minutes and seconds are common sources of errors in competitive exams.

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