Question

You took a running leap off a high-diving platform. you were running at 2.8 m/s and hit the water 2.6 s later. how high was the platform, and how far from the edge of the platform did you hit the water? ignore air resistance.

Answer 1

The platform was approximately 33.17 meters high. Using the horizontal component of motion, it was calculated that you would hit the water 7.28 meters away from the edge of the platform after taking a running leap at 2.8 m/s and landing 2.6 seconds later.

Step-by-step explanation:

To determine how high the platform was and how far from the edge of the platform you hit the water, we need to consider two components of the motion separately: the horizontal component (which deals with distance traveled forward) and the vertical component (which concerns the height and falling due to gravity).

Horizontal Component:

Using the above information:

dhorizontal = 2.8 m/s * 2.6 s = 7.28 m

You would hit the water 7.28 meters away from the edge of the platform.

Vertical Component:

Plugging in the known values:

h = (9.81 m/s2 * (2.6 s)²) / 2 = 33.1658 m

The platform was approximately 33.17 meters high.