A body is projected horizontally with a velocity of `39.4m//s` from the top of a building . After what time the horizontal and vertical velocities of the body become equal ?

Explanation

To solve the problem of finding the time after which the horizontal and vertical velocities of a body become equal when projected horizontally from a building, we can follow these steps:

### Step 1: Understand the motion
The body is projected horizontally with an initial horizontal velocity \( V_x = 39.4 \, \text{m/s} \). The vertical motion is influenced by gravity, which accelerates the body downwards with an acceleration \( g \approx 9.8 \, \text{m/s}^2 \).

### Step 2: Determine the vertical velocity
The vertical velocity \( V_y \) at any time \( t \) can be calculated using the equation of motion:
\[
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