An object is dropped from the top of a tower. If it takes 4s for it to reach the ground, calculate the height of the tower.(g = 10 ms-2, ignore air resistan...
An object is dropped from the top of a tower. If it takes 4s for it to reach the ground, calculate the height of the tower.(g = 10 ms-2, ignore air resistance)
Answer Details
When an object is dropped from rest, it falls under the influence of gravity. The distance it falls in time t is given by the formula:
s = (1/2)gt²
where g is the acceleration due to gravity.
In this question, we are given t = 4s and g = 10 ms⁻². Substituting these values into the formula above, we get:
s = (1/2) x 10 ms⁻² x (4 s)² = 80 m
So, the height of the tower is 80 meters.
Therefore, the correct answer is 80m.