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

Question

A stuntman plans to run across a rooftop and then horizontally off it to land on the roof of the next building. The roof of the next building is 4.9 m below the first one and 6.2 m away from it. What should be his minimum speed, in m/s, so that he can successfully make the jump (A) 3.1 (B) 4.1 (C) 4.9 (D) 6.2,

Tardigrade Admin · Accepted Answer

: Vertical height = 4.9 m ∴ h=ut+(1/2)gt2 or 4.9=0+(1/2)× 9.8t2 or 4.9t2=4.9 or t2=1 or t=1 text sec Horizontal velocity =v ∴ Range= 6.2 m; ∴ v× time=6.2 or v× 1=6.2 or v=6.2 text m/s

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

3.1

4.1

4.9

6.2,

: Vertical height = 4.9 m $∴$ $h = u t + \frac{1}{2} g t^{2}$
or $4.9 = 0 + \frac{1}{2} \times 9.8 t^{2}$ or $4.9 t^{2} = 4.9$ or $t^{2} = 1$ or $t = 1 sec$ Horizontal velocity $= v$ $∴$ Range= 6.2 m; $∴$ $v \times t im e = 6.2$ or $v \times 1 = 6.2$ or $v = 6.2 m / s$

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

3.1

4.1

4.9

6.2,

: Vertical height = 4.9 m ∴ h=ut+21​gt2 or 4.9=0+21​×9.8t2 or 4.9t2=4.9 or t2=1 or t=1sec Horizontal velocity =v ∴ Range= 6.2 m; ∴ v×time=6.2 or v×1=6.2 or v=6.2m/s

: Vertical height = 4.9 m $∴$ $h = u t + \frac{1}{2} g t^{2}$
or $4.9 = 0 + \frac{1}{2} \times 9.8 t^{2}$ or $4.9 t^{2} = 4.9$ or $t^{2} = 1$ or $t = 1 sec$ Horizontal velocity $= v$ $∴$ Range= 6.2 m; $∴$ $v \times t im e = 6.2$ or $v \times 1 = 6.2$ or $v = 6.2 m / s$