Answer :
Final answer:
To find the velocity of the object when it is 28.0 m above the ground, use the equation of motion for freely falling objects.
Explanation:
To find the velocity of the object when it is 28.0 m above the ground, we can use the equations of motion for freely falling objects. Since the object is released from rest, its initial velocity is 0 m/s. The time it takes to travel the last 28.0 m is 1.55 s. We can use the equation:
d = ut + 1/2at^2
where d is the distance, u is the initial velocity, a is the acceleration, and t is the time. Since the object is freely falling near the surface of the Earth, the acceleration due to gravity is approximately 9.8 m/s^2. Plugging in the values, we have:
28 = 0 * 1.55 + 1/2 * 9.8 * 1.55^2
Simplifying the equation gives the value of the final velocity.
The calculated velocity is 24.057 m/s.
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