In an action movie, the heroine is supposed to jump with a motorcycle from the roof of one skyscraper to another one. The roof of the second skyscraper is h=11 meters lower, and the gap between the buildings is d=18 meters wide. Both roofs are horizontal and flat. Neglecting air resistance, what minimum initial speed would she need to make the jump?

12m/s

Explanation:

So she would need to cover at least 19 m horizontally while falling a distance of 11 m. Since her initial vertical velocity is 0. Gravitational acceleration g = 9.81 m/s2 is the only thing that affect her vertical motion. We can use the following motion equation to calculate the time it takes for her to drop 11m

This is also the time it takes for her to travel 18m horizontally. So we can calculate the horizontal velocity that she needs

v = s / t = 18 / 1.5 = 12 m/s

since you're a real machine, your ama is always less than your ima, because you can never totally eliminate friction.

i would say