Understanding speed, velocity and acceleration becomes easy only when students practice numericals.
This article is written for students preparing for school exams and competitive tests.
You will find simple, original numericals, clear step-by-step solutions, and exam-focused tips at the end.
No heavy theory, no long derivations — only what you need to score well.
Quick Revision
| Quantity | Meaning (Simple Words) |
|---|---|
| Speed | Distance covered per unit time |
| Velocity | Speed with direction |
| Acceleration | Change in velocity per unit time |
Solved Numericals
Numerical 1: Finding Speed
A cyclist covers 300 meters in 60 seconds.
Find the speed of the cyclist.
Step-by-step solution:
Distance = 300 m
Time = 60 s
Speed = Distance ÷ Time
Answer:
Speed = 300 ÷ 60 = 5 m/s
Numerical 2: Time Taken
A car moves with a speed of 20 m/s.
How much time will it take to cover 400 meters?
Steps:
Distance = 400 m
Speed = 20 m/s
Time = Distance ÷ Speed
Answer:
Time = 400 ÷ 20 = 20 seconds
Numerical 3: Average Speed
A bus travels 120 km in 2 hours and 60 km in 1 hour.
Find the average speed.
Steps:
Total distance = 120 + 60 = 180 km
Total time = 2 + 1 = 3 hours
Average speed = Total distance ÷ Total time
Answer:
Average speed = 180 ÷ 3 = 60 km/h
Numerical 4: Velocity with Direction
A boy runs 100 m east in 20 seconds.
Find his velocity.
Steps:
Distance = 100 m east
Time = 20 s
Velocity = Distance ÷ Time (with direction)
Answer:
Velocity = 100 ÷ 20 = 5 m/s east
Numerical 5: Initial Velocity is Zero
A train starts from rest and reaches 20 m/s in 10 seconds.
Find the acceleration.
Steps:
Initial velocity (u) = 0 m/s
Final velocity (v) = 20 m/s
Time (t) = 10 s
Acceleration = (v − u) ÷ t
Answer:
Acceleration = (20 − 0) ÷ 10 = 2 m/s²
Numerical 6: Deceleration Case
A car slows down from 25 m/s to 5 m/s in 10 seconds.
Find the acceleration.
Steps:
u = 25 m/s
v = 5 m/s
t = 10 s
Answer:
Acceleration = (5 − 25) ÷ 10 = −2 m/s²
(Negative sign shows deceleration)
Numerical 7: Distance Using Speed
A runner moves at 6 m/s for 50 seconds.
Find the distance covered.
Steps:
Speed = 6 m/s
Time = 50 s
Distance = Speed × Time
Answer:
Distance = 6 × 50 = 300 meters
Numerical 8: Uniform Acceleration
A bike increases its speed from 10 m/s to 30 m/s in 10 seconds.
Find the acceleration.
Steps:
u = 10 m/s
v = 30 m/s
t = 10 s
Answer:
Acceleration = (30 − 10) ÷ 10 = 2 m/s²
Numerical 9: Finding Final Velocity
A ball starts with a speed of 4 m/s and accelerates at 1 m/s² for 6 seconds.
Find the final velocity.
Steps:
u = 4 m/s
a = 1 m/s²
t = 6 s
v = u + at
Answer:
v = 4 + (1 × 6) = 10 m/s
Common Mistakes Students Make
Mixing speed and velocity
Forgetting direction in velocity answers
Ignoring negative acceleration
Writing formulas without units
Exam Tips
Always write the given data first
Use SI units only (m, s, m/s)
Show at least 2 steps in numericals
Mention the direction of velocity
Negative acceleration means slowing down
Do not jump directly to the answer
Neat step-wise solving gives extra marks
Conclusion
Practising numericals on speed, velocity, and acceleration builds confidence and improves exam performance.
Focus on understanding what is given, what is asked, and which formula fits — that’s the key.
