Final answer:
The physics question asks for the time to get out of the way of an avalanche on a 31.9° slope, 385 meters up. It involves calculating the time of descent using the formula s = ut + ½at², where 'a' is the acceleration component along the slope.
Step-by-step explanation:
The subject of the question is physics, specifically involving the principles of kinematics as they relate to motion on an inclined plane. To solve the problem of determining the time you would have to get out of the way of an avalanche that started 385 m up a 31.9° slope, we use the formula for the time of descent under gravity. Assuming the acceleration of gravity is 9.81 m/s2, we can consider the component of gravity along the slope, which is gsin(31.9°). The time, t, can then be found using the equation:
s = ut + ½at2
Where:
- s = 385 m (distance the avalanche travels down the slope)
- u = 0 (initial velocity of the avalanche)
- a = gsin(31.9°) (acceleration down the slope)
Plugging the values into the equation and solving for t gives us the time to get out of the way of the avalanche. Simplification of this equation will allow us to calculate the exact answer in seconds, corresponding to one of the provided options (a, b, c, or d).