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Horizontal and Vertical Components of Projectile Motion

A stone falls...

Question

A stone falls from a building and reaches the ground 2.5 seconds later. How high is the building ? $(g = 9.8 m / s^{2})$

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Solution

Given : Initial velocity u = 0 m/s

gravity acceleration g = 9.8 m/s^2

height of building h = ?

time t = 2.5 sec

from 2nd equation of motion

$h = u t + \frac{1}{2} g t^{2}$

h=0×25+1/2×9.8×2.5×2.5
h = 1/2× 9.8 × 2.5 × 2.5

h = 61.25 × 2= 30.625 m

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