Question

Jamie dropped a water bottle from the top of an office building. The water bottle impacted the ground after falling for 5 seconds. Calculate the velocity of the water bottle at impact with the street below.

Answer 1

The speed of the water bottle at impact with the street is 49 m/s

Step-by-step explanation:

Free Fall Motion

A free-falling object falls under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. Free-falling objects do not experience air resistance.

If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is
`g = 9.8 m/s^2`.

The final velocity of a free-falling object after a time t is given by:

vf=g.t

The water bottle dropped by Jamie takes t=5 seconds to impact the ground, thus its speed at that moment is:

vf= 9.8*5

vf = 49 m/s

The speed of the water bottle at impact with the street is 49 m/s