GATE 2019 CE (CE2) – Question 33
A vehicle travels uphill on +4% grade at 20 m/s. Rolling-friction coefficient is 0.46 and g = 10 m/s². Find horizontal braking distance to reduce speed to 10 m/s (m), to the nearest integer.
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Correct answer: 30 to 30
Explanation
Uphill retardation is $a=g(f+G)=10(0.46+0.04)=5$ m/s². From $v^2=u^2-2as$, $s=(20^2-10^2)/(2\times5)=$ **30 m**.