A skateboarder rolls horizontally off the top of a staircase at a speed of 14.5 ms and lands at bottom of the stairs. The staircase has a horizontal length of
8.00m 8.00m8, point, 00, start text, m, end text. We can ignore air resistance. What is the skater's vertical displacement during the jump?

The skater's vertical displacement during the jump is 1.49 meters

Explanation:

Horizontal Motion

When an object is thrown horizontally with a speed v from a height y, the range or maximum horizontal distance traveled by the object can be calculated as follows:

If we already know the value of x, we can solve the above equation for h:

We use the given values v=14.5 m/s, x=8 m, :

y = 1.49 m

The skater's vertical displacement during the jump is 1.49 meters

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