Find the velocity (in m/s) of a free-falling object released from rest after it has fallen 100m. I don't understand the formulas to use or anything. please help.
A handy equation for an object with 0 initial velocity and constant acceleration is:
v^2 = (2*a*s)
where
v = final velocity
a = acceleration (in this problem it is gravity)
s = distance
To find the velocity of a free-falling object, you can use the equation for uniformly accelerated motion:
v² = u² + 2as
Where:
- v is the final velocity of the object (which we want to find).
- u is the initial velocity of the object (in this case, it is at rest, so u = 0).
- a is the acceleration due to gravity (approximately 9.8 m/s²).
- s is the distance traveled by the object (which is 100 m in this case).
Since the object is freely falling, the only force acting on it is gravity, and hence, the acceleration is equal to the acceleration due to gravity.
Substituting the values into the equation, we have:
v² = 0 + 2 * 9.8 * 100
Simplifying further:
v² = 1960
To get the value of v, we take the square root of both sides of the equation:
v = √1960
Calculating the square root:
v ≈ 44.27 m/s
Therefore, the velocity of the object, when it has fallen 100 m, is about 44.27 m/s.