As shown in the figure, a person starts running from a distance of from the right edge of a platform with a constant acceleration towards the edge. After leaving the platform, the person lands exactly at the center of the bottom of a truck's carriage. The vertical height from the right edge of the platform to the bottom of the truck's carriage is , and the horizontal distance from the edge of the platform to the center of the carriage is . Assuming , what is the initial velocity of the person when they leave the platform?
Options
A
20 m/s
B
2 m/s
C
0.6 m/s
D
6 m/s
Answer & Analysis
Answer
B
Analysis
To find the initial velocity of the person
when they leave the platform, we can break the problem into vertical and
horizontal components.
Vertical Motion
The person falls freely after leaving the
platform, and the vertical distance they travel is . The
only force acting on them in the vertical direction is gravity, and the
acceleration due to gravity is .
Using the equation of motion for free fall:
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