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A vehicle moving at 60 kmph on an ascending gradient of a highway has to come to stop position to avoid collision with a stationary object.The ratio of lag to brake distance is 6: 5. Considering total reaction time of the driver as 2.5 seconds and the coefficient of longitudinal friction as 0.36, the value of ascending gradient (%) is
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- 3.3
- 4.8
- 5.3
- 6.8
Correct Option: B
| Lag distance = 60 × | × 2.5 = 41.67 m | |
| 18 |
| = | |||
| Brake distance | 5 |
| ∴ Brake distance(s) = 41.67 × | = 34.725 m | |
| 6 |
| S = | ||
| 2gƒ + g sin θ |
| ∴ 2ƒ + sinθ = | ||
| Sg |
| ∴ sinθ = | - 2ƒ | |
| Sg |
| = | - 2 × 0.36 = 34.75 | |
| 34.75 × 9.81 |
∴ θ = 4.8%
