Question
Calculate the height from which a body is released from rest of it's velocity just before hitting the ground is 30ms/s
Answers
Answered by
GPT 3.5
To calculate the height from which a body is released, we can use the laws of motion.
First, let's assume that the acceleration due to gravity is approximately 9.8 m/s² (this value may vary depending on the location).
The final velocity of the body just before hitting the ground is given as 30 m/s, but this is the magnitude of the velocity vector. Since the body is moving downward, the velocity is negative.
We can use the equation of motion:
v² = u² + 2as,
where v is the final velocity (30 m/s), u is the initial velocity (0 m/s as the body is released from rest), a is the acceleration (-9.8 m/s²), and s is the displacement (the height h we want to find).
Plugging in the given values, the equation becomes:
(30 m/s)² = (0 m/s)² + 2(-9.8 m/s²)h.
Simplifying the equation:
900 m²/s² = -19.6 m/s² * h.
Rearranging the equation to solve for h:
h = 900 m²/s² / (-19.6 m/s²).
Calculating h:
h ≈ -45.92 meters.
The height from which the body is released (while considering the downward direction as negative) is approximately 45.92 meters.
First, let's assume that the acceleration due to gravity is approximately 9.8 m/s² (this value may vary depending on the location).
The final velocity of the body just before hitting the ground is given as 30 m/s, but this is the magnitude of the velocity vector. Since the body is moving downward, the velocity is negative.
We can use the equation of motion:
v² = u² + 2as,
where v is the final velocity (30 m/s), u is the initial velocity (0 m/s as the body is released from rest), a is the acceleration (-9.8 m/s²), and s is the displacement (the height h we want to find).
Plugging in the given values, the equation becomes:
(30 m/s)² = (0 m/s)² + 2(-9.8 m/s²)h.
Simplifying the equation:
900 m²/s² = -19.6 m/s² * h.
Rearranging the equation to solve for h:
h = 900 m²/s² / (-19.6 m/s²).
Calculating h:
h ≈ -45.92 meters.
The height from which the body is released (while considering the downward direction as negative) is approximately 45.92 meters.