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A truck travelling at 54 km/h is slow down to 36 km/h in 10 sec. Find the retardation?
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A truck travelling at 54 km/h is slow down to 36 km/h in 10 sec. Find ...
Understanding the Problem
To determine the retardation of the truck, we need to analyze the change in its velocity over a specific time period. Here are the steps involved:
Given Data
- Initial velocity (u) = 54 km/h
- Final velocity (v) = 36 km/h
- Time (t) = 10 seconds
Converting Units
1. Convert the velocities from km/h to m/s for easier calculations:
- 54 km/h = (54 * 1000) / 3600 = 15 m/s
- 36 km/h = (36 * 1000) / 3600 = 10 m/s
Calculating Retardation
1. Use the formula for retardation (a):
a = (v - u) / t
2. Substituting the values:
- a = (10 m/s - 15 m/s) / 10 s
- a = (-5 m/s) / 10 s
- a = -0.5 m/s²
Conclusion
- The negative value indicates retardation (deceleration).
- Therefore, the retardation of the truck is 0.5 m/s².
This calculation shows how the truck slows down over the given time period. Understanding these concepts is crucial in physics, particularly in motion and dynamics.
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A truck travelling at 54 km/h is slow down to 36 km/h in 10 sec. Find the retardation?
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