A stuntman plans to run along a roof top and then horizontally off it to land on the roof of next building. The roof of the next building is 4.9 metres below the first one and 6.2 metres away from it. What should be his minimum roof top speed in m / s, so that he can successfully make the jump?

Question

A stuntman plans to run along a roof top and then horizontally off it to land on the roof of next building. The roof of the next building is 4.9 metres below the first one and 6.2 metres away from it. What should be his minimum roof top speed in m / s, so that he can successfully make the jump? (A) 3.1 (B) 4.0 (C) 4.9 (D) 6.2

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/a56fef33b5d6adb325cc62fb5912d9bc-.png" /> x =√(2 h / g ) × u ⇒ u = x √( g /2 h )=6.2 × √(9.8/2 × 4.9)=6.2 m / s

Q. A stuntman plans to run along a roof top and then horizontally off it to land on the roof of next building. The roof of the next building is 4.9 metres below the first one and 6.2 metres away from it. What should be his minimum roof top speed in m/s, so that he can successfully make the jump?

3.1

4.0

4.9

6.2

x=g2h​​×u ⇒u=x2hg​​=6.2×2×4.99.8​​=6.2m/s

$x = \frac{2 h}{g} \times u$
$\Rightarrow u = x \frac{g}{2 h} = 6.2 \times \frac{9.8}{2 \times 4.9} = 6.2 m / s$