A stone is projected upward with a speed of 80.0 ft/s from a 224 ft high tower. Find the maximum height and the speed with which it strikes the ground.

Maximum height: hmax = 323.45 ft.

Speed with wich it strikes the ground: Vf = 144.02 ft/s.

Explanation:

Vi = 80ft/s = 24.38 m/s

hi = 224 ft = 68.27 m

g = 9.8 m/s²

0 = Vi - g*t

t (rise) = 2.48s

hmax = hi + Vi*t (rise) - g*t (rise) ²/2

hmax = 98.59m = 323.45 ft

hmax = g*t²/2

t (fall) = √ (2*hmax/g)

t (fall) = 4.48 s

Vf=g*t (fall)

Vf = 43.9 m/s = 144.02 ft/s