Question

In the absence of air resistance and starting from rest ... Select one or more: a. an object would fall quadruple the distance if you double the time b. an object would fall half the distance if you double the time c. a 2 kg object falls twice as fast as a 1 kg object d. an object would fall twice the distance if you double the time e. a 2 kg object falls as fast as a 1 kg object

Answer 1

Answer:

only E is true

Explanation:

A) to find out if it would fall 4x as fast by 2x the time we can look at the formula for free fall:

for free fall the Y = $\frac{1}{2}$g$t^{2}$ where Y is the distance fallen, g is gravity and t is time

so since the rate at which an object falls is the same (gravity stays the same) it will not fall faster with any alteration

B) An object would fall half the distance if you double the time

here we may need to check with an example:

lets say we fall for 2 seconds in the first and 4 in the second:

Y= 1/2 (9.8) (2)^2 gives 19.6m fallen

Y= 1/2 (9.8) (4)^2 gives 78.4m fallen

from this we can see that doubling the time does not half the distance

C) all objects fall at the same rate no matter their mass so this statement is false

D) from the example above we see again that doubling time does not double the distance

E) this statement is true