Question

Mr. Robinson's son likes to climb tall trees. Last Sunday, he was climbing a tree when his brand new phone fell out of his pocket. How long did it take the phone to fall 12 feet? Round your answer to the nearest tenth.

Answer 1

The phone took approximately 1.22 seconds to fall 12 feet.

Step-by-step explanation:

In order to determine how long it took for the phone to fall 12 feet, we need to use the kinematic equation for vertical motion:

d = vi*t + (1/2)*a*t^2

Since the phone starts from rest (initial velocity = 0) and falls under the acceleration due to gravity (-9.8 m/s^2), we can simplify the equation to:

d = (1/2)*a*t^2

Plugging in the values for distance and acceleration, we get:

12 ft = (1/2) * (-9.8 m/s^2) * t^2

Simplifying and solving for t gives us:

t ≈ 1.22 seconds

Therefore, it took approximately 1.22 seconds for the phone to fall 12 feet.