Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A stuntman plans to run across 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 meter below the first one and 6.2 meter away from it. What should be his minimum roof top speed in m/s, so that he can successfully make the jump ?
Text Solution
Verified by ExpertsThe correct answer is:
C
Step 1: Analyze the problem to find the required horizontal speed. The stuntman is making a projectile motion where he will jump horizontally off the roof and fall vertically due to gravity.
Step 2: The vertical distance fallen is 4.9 meters (height of the first building to the second). The time taken (t) to fall this height can be calculated using the formula for free fall:
$$ h = \frac{1}{2} g t^2 $$
Here, h is the height (4.9 m), and g is the acceleration due to gravity (approximately 9.8 m/s²). Rearranging gives:
$$ t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2 \times 4.9}{9.8}} = \sqrt{1} = 1 ext{ second} $$
Step 3: To successfully land on the next building, the horizontal distance (6.2 m) must be covered in 1 second. The horizontal speed required can be found using:
$$ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{6.2 m}{1 s} = 6.2 ext{ m/s} $$
Conclusion: The minimum roof top speed required is 6.2 m/s. Therefore, the correct answer is option C.
Step 2: The vertical distance fallen is 4.9 meters (height of the first building to the second). The time taken (t) to fall this height can be calculated using the formula for free fall:
$$ h = \frac{1}{2} g t^2 $$
Here, h is the height (4.9 m), and g is the acceleration due to gravity (approximately 9.8 m/s²). Rearranging gives:
$$ t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2 \times 4.9}{9.8}} = \sqrt{1} = 1 ext{ second} $$
Step 3: To successfully land on the next building, the horizontal distance (6.2 m) must be covered in 1 second. The horizontal speed required can be found using:
$$ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{6.2 m}{1 s} = 6.2 ext{ m/s} $$
Conclusion: The minimum roof top speed required is 6.2 m/s. Therefore, the correct answer is option C.
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