Two objects are dropped from rest from the same height. Object A falls through a distance Da and during a time t, and object B falls through a distance Db during a time 2t. If air resistance is negligible, what is the relationship between Da and Db?
a. dA = ¼ dB.
b. dA = ½ dB.
c. dA = 2 dB.
d. dA = 4 dB.

a. Da = ¼ Db

Explanation:

Let us write out equations of motion for both objects:

For object A:

Since initial velocity, u =, is zero:

---------------------------------------- (1)

For object B:

Since initial velocity, u =, is zero:

---------------------------------------- (2)

Note: g = acceleration due to gravity

To get the relationship between Da and Db, we make g subject of formula in (1) and (2) and then equate:

From (1):

From (2):

Equating:

=>

it was hot sunny

explanation:

i am pretty sure it is c because when people are closer together, they cannot move as freely. picture being in a mostly full elevator, for instance. the people are right next to you, and you can barely move.