# How far will a block descend in the y-direction after falling in the x-direction?

## Calculation for Vertical Descent

**The calculation involves using the formula:**

y = y0 + v0t - Â½gtÂ²

Where:

**y**is the vertical displacement**y0**is the initial vertical position**v0**is the initial vertical velocity**t**is the time of descent**g**is the acceleration due to gravity (9.8 m/sÂ²)

Assuming the block starts from rest (v0 = 0) and has an initial vertical position of y0 = 0, the equation simplifies to:

y = -Â½gtÂ²

Plugging in the values for time (1.81 seconds) and acceleration due to gravity, we can calculate the vertical displacement of the block.

**Calculating the vertical descent:**

y = -Â½ Ã 9.8 Ã (1.81)Â²

y = -Â½ Ã 9.8 Ã 3.2761

y â -Â½ Ã 32.0718

y â -16.0359

Therefore, the distance the block will descend in the y-direction after falling for 1.81 seconds is approximately 16.04 meters. The negative sign indicates that the displacement is in the downward direction, as expected for a descent.