Question

A weather balloon is fired from the top of a building After 3.2 seconds

the
weather balloon lands 496 m from the base of the building. How tall is the building?

Answer 1

To find the height of the building, we can use the formula for the vertical motion of an object in free fall.

Step-by-step explanation:

To find the height of the building, we can use the formula for the vertical motion of an object in free fall:

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

where d is the distance fallen, g is the acceleration due to gravity, and t is the time elapsed. In this case, the distance fallen is 496 m and the time elapsed is 3.2 seconds. By rearranging the formula, we can solve for the height of the building:

h = d + (1/2) * g * t^2

Substituting the given values:

h = 496 + (1/2) * 9.8 * (3.2)^2

Simplifying the equation gives:

h = 496 + 49.6

Therefore, the height of the building is 545.6 meters.