Use the table of data for two falling rocks to answer the question

Question

Rock 1. Rock 2
Mass (kg). 2.5. 25
Height of fall (m). 78.4. 78.4
Time to fall. 4.0. ?

Based on this data, how many seconds will it take rock 2 to fall?

Answer 1

Based on the given data, we can assume that both rocks are falling from the same height (78.4m) and we are trying to find the time it takes for rock 2 to fall to the ground.

To find the time for rock 2 to fall, we can use the formula:

time = sqrt(2 * height / acceleration due to gravity)

Since both rocks are falling under the same gravitational acceleration, we can assume a value of 9.8 m/s^2 for acceleration due to gravity.

For rock 1:
time for rock 1 = sqrt(2 * 78.4 / 9.8) = sqrt(2 * 8) = sqrt(16) = 4.0 seconds

Given that rock 1 and rock 2 have the same height of fall (78.4m) and they are both falling under the same gravitational acceleration, we can conclude that rock 2 will also take 4.0 seconds to fall to the ground.