# a ball dropped from the roof of a building takes 4s to reach the street. how high is the building?

astrosonuthird | Student, Kindergarten | (Level 1) Valedictorian

Posted on

Hi! This is my hi-tech experimentally proved formulae. We know that normally if a ball is dropped from the terrace of a building. It will cover 19 metre 62 cent-metre in one second. So, in 4 seconds it will cover 19.62 * 4 = 78.48 metres! Therefore your answer is 78.48 metres. I THINK THIS ANSWER IS MUCH MORE EASIER THAN THE OTHER!!

llltkl | College Teacher | (Level 3) Valedictorian

Posted on

The distance travelled (d) by an accelerating body with initial velocity u and acceleration a is obtainable from the equation of motion of the form:

`d = ut + 1/2at^2`

Here, the ball, initially at rest, is being dropped from a height, h. So, u = 0, a = g = 9.81 m/s^2, t = 4 s

Putting the values we get...

`h = 0*4 + (1/2) *9.81*4^2`

= `78.48` m

= 78.5 m (rounded off to one decimal place).

Therefore, the height of the building wasÂ 78.5 m.

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