Question

велосипедист начинает спускаться с горы с ускорением 0,8м/c2. найдите длину горы, если спуск занял 6с.

Answer 1

Calculation of the Length of the Mountain

To find the length of the mountain, we can use the equation of motion for uniformly accelerated motion:

s = ut + (1/2)at^2

Where: - s is the distance traveled - u is the initial velocity (which is 0 in this case since the cyclist starts from rest) - a is the acceleration - t is the time taken

In this case, the cyclist starts from rest, so the initial velocity (u) is 0. The acceleration (a) is given as 0.8 m/s^2, and the time taken (t) is 6 seconds.

Plugging these values into the equation, we get:

s = 0 + (1/2)(0.8)(6^2)

Simplifying the equation, we have:

s = 0 + (1/2)(0.8)(36)

s = 0 + 0.4(36)

s = 0 + 14.4

s = 14.4 meters

Therefore, the length of the mountain is approximately 14.4 meters.