A stone dropped from rest travels 160 ft the first 3 seconds. How far will it have fallen at the end of 5 seconds?
267ft
To find the distance the stone will have fallen at the end of 5 seconds, we can use the equation of motion:
distance = (initial velocity * time) + (0.5 * acceleration * time^2)
In this case, since the stone is dropped from rest, its initial velocity is 0 ft/s. The acceleration due to gravity is approximately 32 ft/s^2.
Using the equation, we can calculate the distance at the end of 5 seconds:
distance = (0 * 5) + (0.5 * 32 * 5^2)
distance = 0 + (0.5 * 32 * 25)
distance = 0 + (0.5 * 800)
distance = 0 + 400
distance = 400 ft
Therefore, the stone will have fallen 400 ft at the end of 5 seconds.