Answer:
a) the final velocity is v=80 ft/s
b) the time required is 2.5 seconds
Step-by-step explanation:
The final velocity is related with the acceleration through
v² = v₀² + 2*g*h
where
v₀= initial velocity= 0 (dropped from test)
g = acceleration
h = height
replacing values
v² = v₀² + 2*g*h = 0² + 2*32 ft/s² * 100 ft = 6400 ft²/s²
then
v= √6400 ft²/s² = 80 ft/s
the tomato hit the ground at v=80 ft/s
h₀= h + v₀*t - 1/2*g*t²
since h₀=0 ( initial height) and v₀=0
0= h - 1/2*g*t²
t = √(2*h/g)
replacing values
t = √(2*h/g) = √(2*100 ft / 32 ft/s²) = 10/4 s =2.5 s
t =2.5 seconds
