a car accelerates uniformly 36 km/h to 72km/h in 5 seconds the acceralation is?
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Given Information :
• Initial velocity (u) = 36 km/h
• Final velocity (v) = 72 km/h
• Time taken (t) = 5 s
To calculate :
• Acceleration (a)
Conversion of units :
We'll be calculating the value of acceleration in its SI unit, that is m/s². So, we need to convert the velocities in m/s.
- In order to convert km/h to m/s, we multiply the give value with 5/18.
Converting initial velocity (u) into m/s :
→ 36 km/h = 36 × m/s
→ 36 km/h = 2 × 5 m/s
→ 36 km/h = 10 m/s
Converting final velocity (v) into m/s :
→ 72 km/h = 72 × m/s
→ 72 km/h = 4 × 5 m/s
→ 72 km/h = 20 m/s
Calculations :
As we know that,
- Acceleration is defined as rate of change in velocity with time, so
- v denotes final velocity.
- u denotes initial velocity.
- t denotes time.
Substituting values,
Therefore, acceleration is 2 m/s².
Points to remember :
• Acceleration is defined as rate of change in velocity with time.
•
• SI unit of acceleration is m/s².
• Negative acceleration is known as retardation.
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