Question

A skateboarder jumps horizontally off the top of a staircase at a speed of 14.5 – and lands at bottom of the

stairs. The staircase has a horizontal length of 8.00 m. We can ignore air resistance.

Answer 1

The skateboarder takes approximately 0.552 seconds to land at the bottom of the stairs.

Step-by-step explanation:

The subject of this question is Physics and it is suitable for High School level.

To calculate the horizontal displacement of the skateboarder, we can use the formula:

1. horizontal displacement = horizontal velocity x time

Given that the skateboarder jumps horizontally off the top of a staircase with a speed of 14.5 m/s, we can use the formula to calculate the horizontal displacement:

1. horizontal displacement = 14.5 m/s x time

Since the horizontal displacement is given as 8.00 m, we can rearrange the formula to solve for time:

1. time = horizontal displacement / horizontal velocity

Substituting the values, we get:

1. time = 8.00 m / 14.5 m/s = 0.552 s

Therefore, the skateboarder takes approximately 0.552 seconds to land at the bottom of the stairs.

Answer 2

Answer: -1.49

Step-by-step explanation:

/\x = vxt

t = /\x / vx

t = 8m / 14.5 m/s

= 0.552s

/\y = v0y + 1/2 ay t^2

= (0)t + 1/2 (-9.8 m/s^2) (0.552s)^2

= -1.49m (answer)

:))) This is the actual answer