f a ball dropped from a tower reaches the ground after 3.5 seconds, what is the height of the tower? Given: g = –9.8 meters/second2

Let's use the second kinematic equation:
Δy = vot + 1/2gt²

Δy = 0(3.5) + 1/2(-9.8)(3.5)²

Δy = -4.9(3.5)² = -60.03 m

So the ball falls 60.03 m, meaning that's the height of the building. The negative sign just means I put the y = 0 mark at the top of the building.

Make sense?

Answer Link

whitneytr12 whitneytr12 · Answer 2 · 2021-09-30T08:48:00-04:00

The height of the tower from which a ball is dropped is 60.03 m.

The height of the tower can be calculated with the following equation:

\(y_{f} = y_{i} + v_{i_{y}}t - \frac{1}{2}gt^{2}\)

Where:

\(y_{f}\): is the final height = 0 (when it reaches the ground)

\(y_{i}\): is the initial height =?

\(v_{i_{y}}\): is the initial velocity = 0 (the ball is dropped)

t: is the time = 3.5 s

g: is the acceleration due to gravity = 9.8 m/s²

Hence, the height is:

\(y_{i} = \frac{1}{2}9.8 m/s^{2}*(3.5 s)^{2} = 60.03 m\)

Therefore, the height of the tower is 60.03 m.

You can find another example of freefall here https://brainly.com/question/9828119?referrer=searchResults

I hope it helps you!