Question

A pumpkin is dropped off the roof of a building. The pumpkin falls for 8.3 seconds before smashing against the ground. What is the height of the building (in other words what distance did the pumpkin fall)?

What are the givens (what information do you know)?

Answer 1

The height of the building can be determined by using the equation h = 1/2 * g * t^2, where h is the height, g is the acceleration due to gravity, and t is the time. By substituting the given values into the equation, we find that the height of the building is 138.2215 meters.

Step-by-step explanation:

To find the height of the building, we can use the equation h = 1/2 * g * t^2, where h is the height, g is the acceleration due to gravity, and t is the time. In this case, the time is given as 8.3 seconds.

Using the given givens v = 38.3 m/s and c = -33.3 m, we can derive the acceleration due to gravity, g, as -33.3/8.3 = -4.01 m/s^2. Since we want the height and not the depth, we take the magnitude of g to get 4.01 m/s^2.

Now we can substitute the values into the equation: h = 1/2 * g * t^2 = 0.5 * 4.01 m/s^2 * (8.3 s)^2 = 138.2215 meters.