Answer:
The height of the building is 153.664 meter.
Step-by-step explanation:
Consider the provided function.
[tex]s(t) = 4.9t^2 + v_0 t + s_0[/tex]
Here t represents the time v₀ represents the initial velocity, s₀ represents the initial height and s(t) represents the height after t seconds.
It is given that the splash is seen 5.6 seconds after the stone is dropped.
That means after 5.6 seconds height s(t) = 0, Also the initial velocity of the stone is 0.
Substitute respective values in the above function.
[tex]0 = 4.9(5.6)^2 +5.6(0)+ s_0[/tex]
[tex]0 = 4.9(31.36)+ s_0[/tex]
[tex]s_0=-153.664[/tex]
As height can't be a negative number so the value of s₀ is 153.664.
Hence, the height of the building is 153.664 meter.
