Question:medium
A \(2\,\text{m}\) wide truck is moving with a uniform speed \(v_0 = 8\,\text{m/s}\) along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed \(v\) when the truck is \(4\,\text{m}\) away from him. The minimum value of \(v\) so that he can cross the road safely is:
A \(2\,\text{m}\) wide truck is moving with a uniform speed \(v_0 = 8\,\text{m/s}\) along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed \(v\) when the truck is \(4\,\text{m}\) away from him. The minimum value of \(v\) so that he can cross the road safely is:
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Relative motion often gives minimum speed conditions.
Use geometry for diagonal escape paths.
Updated On: Mar 23, 2026
- \(2.62\,\text{m/s}\)
- \(4.6\,\text{m/s}\)
- \(3.57\,\text{m/s}\)
- \(1.414\,\text{m/s}\)
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The Correct Option is A
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