Question

A ball is dropped from a building taking 3sec to fall to the ground. Calculate:

Speed ​​when falling to the ground
The height of the building

Answer 1

Vf = 29.4 m/s

h = 44.1 m

Step-by-step explanation:

Data:

• Initial Velocity (Vo) = 0 m/s
• Gravity (g) = 9.8 m/s²
• Time (t) = 3 s
• Final Velocity (Vf) = ?
• Height (h) = ?

==================================================================

Final Velocity

Use formula:

• Vf = g * t

Replace:

• Vf = 9.8 m/s² * 3s

Multiply:

• Vf = 29.4 m/s

==================================================================

Height

Use formula:

• 
  `\boxed{h=(g*(t)^(2))/(2)}`

Replace:

• 
  `\boxed{h=(9.8(m)/(s^(2))*(3s)^(2))/(2)}`

Multiply time squared:

• 
  `\boxed{h=(9.8(m)/(s^(2))*9s^(2))/(2)}`

Simplify the s², and multiply in the numerator:

• 
  `\boxed{h=(88.2m)/(2)}`

It divides:

• 
  `\boxed{h=44.1\ m}`

What is the velocity when falling to the ground?

The final velocity is 29.4 meters per seconds.

How high is the building?

The height of the building is 44.1 meters.