Question

Reverend Northwick climbs to the church belfry one morning to determine the height of the church. From an outside balcony, he drops a book, and it takes 2.00 s to strike the ground below. How high is the balcony of the church belfry? (Acceleration due to gravity is

9.8m/s ²
A. 19.6 m
B. 39.2 m
C. 78.4 m
D. 156.8 m

Answer 1

Using the kinematic equation h = ½gt² for free fall, the height of the church belfry's balcony is calculated to be 19.6 meters given the time of fall is 2 seconds and acceleration due to gravity is 9.8 m/s².

Step-by-step explanation:

The question deals with the calculation of the height from which a book was dropped based on the time it took to reach the ground, considering the acceleration due to gravity. To calculate the height (h) of the church belfry's balcony, we can use the kinematic equation for an object in free fall:

h = ½gt²

Where g represents the acceleration due to gravity (9.8 m/s²) and t is the time in seconds.

By substituting the given values:

h = ½(9.8 m/s²)(2.00 s)²

h = ½(9.8 m/s²)(4.00 s²)

h = 19.6 m

Therefore, the height of the balcony from which Reverend Northwick dropped the book is 19.6 meters (Option A).