Your drop a coin from the top of a hundred-story building (1000m). If you ignore air resistance, how fast will it be falling right before it hits the ground? How long does it take to hit the ground?

consider the motion of con from top to bottom

Y = vertical displacement = 1000 m

a = acceleration due to gravity = 9.8 m/s²

v₀ = initial velocity at the top = 0 m/s

v = final velocity at the bottom = ?

using the kinematics equation

v² = v²₀ + 2 aY

v² = 0² + 2 (9.8) (1000)

v = 140 m/s

t = time taken to hit the ground

Using the equation

v = v₀ + at

140 = 0 + 9.8 t

t = 14.3 sec

H=1/2*g*t²,

so t=√ (2h/g) = 10√2 s

v=gt=100√2 m/s