Question

Tyler throws a water ballon into the air from the top of a building, and it lands on the ground. The graph below models the height of the water balloon throughout its flight.

Select the most appropriate unit to measure the amount if time that the water ballon is in the air.

Milliseconds

Minutes

Hours

Seconds

Answer 1

The answer is seconds.

Answer 2

Option D is the correct answer.

Explanation:

Maximum possible velocity with which we can throw is around 180km/h

So velocity = 180 km/h = 50 m/s

Tallest building is Burj Khalifa which is 828m high.

So height = H = 828 m

We have equation of motion

`s=ut+(1)/(2)at^2`

We need to find time it takes to reach ground if we throw the balloon straight up

Here s = -H = -828 m, u = 50 m/s and a = acceleration due to gravity = -9.81 m/s²

Substituting

`-828=50t+(1)/(2)* (-9.81)t^2\\\\t^2-10.19t-168.81=0\\\\t=19.05\texttt{ or }t=-8.86\texttt{ (not possible)}`

So, If we throw a balloon with maximum possible velocity from the tallest building in the world it will take 19.05 seconds to reach ground.

So, the most appropriate unit to measure the amount if time that the water balloon is in the air is seconds.

Option D is the correct answer.