Question

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.

Answer 1

Answer:

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