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Q1. A car acquires a velocity of 72km/h in 10 seconds starting from rest. Find (a) the acceleration (b) the
average velocity (c) the distance travelled in this time.?
average velocity (c) the distance travelled in this time.?
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Q1. A car acquires a velocity of 72km/h in 10 seconds starting from re...
To solve the problem of a car acquiring a velocity of 72 km/h in 10 seconds starting from rest, we can break it down into three parts: acceleration, average velocity, and distance travelled.
Acceleration
To find the acceleration, we can use the formula:
\[
\text{Acceleration} (a) = \frac{\text{Final Velocity} (v) - \text{Initial Velocity} (u)}{\text{Time} (t)}
\]
Given:
- Final Velocity \( v = 72 \text{ km/h} = \frac{72 \times 1000}{3600} = 20 \text{ m/s} \)
- Initial Velocity \( u = 0 \text{ m/s} \)
- Time \( t = 10 \text{ s} \)
Now substituting the values:
\[
a = \frac{20 - 0}{10} = 2 \text{ m/s}^2
\]
Average Velocity
The average velocity can be calculated using the formula:
\[
\text{Average Velocity} (v_{avg}) = \frac{\text{Initial Velocity} (u) + \text{Final Velocity} (v)}{2}
\]
Substituting the values:
\[
v_{avg} = \frac{0 + 20}{2} = 10 \text{ m/s}
\]
Distance Travelled
To find the distance travelled, we use the formula:
\[
\text{Distance} (s) = \text{Initial Velocity} (u) \times \text{Time} (t) + \frac{1}{2} \times \text{Acceleration} (a) \times t^2
\]
Substituting the values:
\[
s = 0 \times 10 + \frac{1}{2} \times 2 \times (10)^2 = 0 + 100 = 100 \text{ m}
\]
Summary
- Acceleration: 2 m/s²
- Average Velocity: 10 m/s
- Distance Travelled: 100 m
Acceleration
To find the acceleration, we can use the formula:
\[
\text{Acceleration} (a) = \frac{\text{Final Velocity} (v) - \text{Initial Velocity} (u)}{\text{Time} (t)}
\]
Given:
- Final Velocity \( v = 72 \text{ km/h} = \frac{72 \times 1000}{3600} = 20 \text{ m/s} \)
- Initial Velocity \( u = 0 \text{ m/s} \)
- Time \( t = 10 \text{ s} \)
Now substituting the values:
\[
a = \frac{20 - 0}{10} = 2 \text{ m/s}^2
\]
Average Velocity
The average velocity can be calculated using the formula:
\[
\text{Average Velocity} (v_{avg}) = \frac{\text{Initial Velocity} (u) + \text{Final Velocity} (v)}{2}
\]
Substituting the values:
\[
v_{avg} = \frac{0 + 20}{2} = 10 \text{ m/s}
\]
Distance Travelled
To find the distance travelled, we use the formula:
\[
\text{Distance} (s) = \text{Initial Velocity} (u) \times \text{Time} (t) + \frac{1}{2} \times \text{Acceleration} (a) \times t^2
\]
Substituting the values:
\[
s = 0 \times 10 + \frac{1}{2} \times 2 \times (10)^2 = 0 + 100 = 100 \text{ m}
\]
Summary
- Acceleration: 2 m/s²
- Average Velocity: 10 m/s
- Distance Travelled: 100 m
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Q1. A car acquires a velocity of 72km/h in 10 seconds starting from rest. Find (a) the acceleration (b) the average velocity (c) the distance travelled in this time.?
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Q1. A car acquires a velocity of 72km/h in 10 seconds starting from rest. Find (a) the acceleration (b) the average velocity (c) the distance travelled in this time.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Q1. A car acquires a velocity of 72km/h in 10 seconds starting from rest. Find (a) the acceleration (b) the average velocity (c) the distance travelled in this time.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q1. A car acquires a velocity of 72km/h in 10 seconds starting from rest. Find (a) the acceleration (b) the average velocity (c) the distance travelled in this time.?.
Q1. A car acquires a velocity of 72km/h in 10 seconds starting from rest. Find (a) the acceleration (b) the average velocity (c) the distance travelled in this time.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Q1. A car acquires a velocity of 72km/h in 10 seconds starting from rest. Find (a) the acceleration (b) the average velocity (c) the distance travelled in this time.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q1. A car acquires a velocity of 72km/h in 10 seconds starting from rest. Find (a) the acceleration (b) the average velocity (c) the distance travelled in this time.?.
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