A car is traveling at 100 km/h on a straight road. Calculate the minimum distance it will take to come to a complete stop if it has a deceleration of 5 m/s².
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To calculate the minimum distance it will take for the car to come to a complete stop, we need to use the equation:
v² = u² + 2as
Where:
- v is the final velocity (0 m/s as the car comes to a complete stop),
- u is the initial velocity (100 km/h),
- a is the acceleration (-5 m/s² as it is a deceleration),
- s is the distance traveled.
First, we need to convert the initial velocity from km/h to m/s:
100 km/h = 100,000 m/3,600 s = 27.78 m/s
Applying the equation:
0² = (27.78)² + 2(-5)s
0 = 771.48 - 10s
10s = 771.48
s ≈ 77.15 meters
Therefore, it will take a minimum distance of approximately 77.15 meters for the car to come to a complete stop.
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