Respuesta :
speed of the striking object is given as
[tex]v = 60 mph[/tex]
now this speed in SI units given as
[tex]v = 60 \times \frac{1609 m}{3600 s}[/tex]
[tex]v = 26.82 m/s[/tex]
So here we can use kinematic now to find the height from where it is dropped
so here we will have
[tex]v_f^2 - v_i^2 = 2 a d[/tex]
now we have
[tex]v_f = 26.82 m/s[/tex]
[tex]v_i = 0[/tex]
[tex]a = 9.81 m/s^2[/tex]
now from above equation
[tex]26.82^2 - 0 = 2(9.81)d[/tex]
[tex]d = 36.67 m[/tex]
now we know that average height of 1 story building is 3 meter
so approx total number of stories in the building will be
[tex]N = \frac{36.67}{3} = 12 story[/tex]
