Answer:
Rh = 97.67 m
Explanation:
given data
mass = 2400 kg
lands = 293 mm
solution
as here boulder is thrown upward so at some point will be hightest so at that velocity will be zero
so we apply here conservation of momentum
0 = m1 × v1 - mh × vh ...............1
m1 × v1 = mh × vh
[tex]\frac{1}{4}[/tex] × 2400 × v1 = [tex]\frac{3}{4}[/tex] × 2400 × vh
v1 = 3 vh
and
R = speed × time
time = [tex]\frac{293}{v1}[/tex]
and
Rh = vh × time
Rh = [tex]\frac{1}{3}[/tex] v1 × [tex]\frac{293}{v1}[/tex]
Rh = 97.67 m