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Highway safety engineers build soft barriers so that cars hitting them will slow down at a safe rate. A person wearing a safety belt can withstand an acceleration of 300 m/s/s. How thick should barriers be to safely stop a car that hits the barriers at 76.86 km/h?

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onyebuchinnaji

The thickness of the barrier that will stop a car travelling at 76.86 km/h is 0.76 m.

Thickness of the barriers

The thickness of the barriers can be calculated using a kinematic equation as shown below;

v² = u² + 2ad

where;

  • d is the thickness of the barrier
  • v is the final velocity
  • u is the initial velocity
  • a is the acceleration of the car
  • v is the final velocity

The given final velocity of the car;

v = 76.86 km/h = 21.35 m/s

Thickness of the barrier that will stop a car travelling at 76.86 km/h is calculated as follows;

d = v²/2a

d = (21.35²) / (2 x 300)

d = 0.76 m

Thus, the thickness of the barrier that will stop a car travelling at 76.86 km/h is 0.76 m.

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