Volcanoes on the Earth eject rocks at speeds of up to 50 m/s. Consider a 1500 m high volcano which ejects rocks in all directions. What is the maximum horizontal distance at sea level reached by the rocks?

a) V=gt and H=0.5 g t^2

h= 0.5 g (V/g)^2

H= 1000+ h=

H= 1000 + (V/)^2 /(2 g)

H= 1620 m

The maximum horizontal distance at sea level reached by the rocks depends on the horizontal component and it was not specified. Coriolis effect is negligible.

A fanout can be estimated if the geometry of the vent is known and the size of the caldera. Typical fanout can be assumed at 10 to 15 degrees. Then the we have to resolve the initial velocity into vertical and horizontal components.

Vv= V cos(15) using max angle

Vh= Vsin(15)

Then

H= 1000 + (Vcos(15))^2 /(2 g)

H= 1000 + 575= 1575m

S=Vsin(15) t where

t= t1 + t2

t1- time to travel to the upper most point h=(Vcos(15))^2 /(2 g)

t2 - time to fall height H

In general t=sqrt(2h/g)

t1= sqrt(2h/g)= sqrt(2 x 575 / 9.81)=11 s

t2= sqrt(2H/g) = sqrt(2 x 1575 /9.81)=18s

t= 29 s

S= V sin(15) t=

S= 110 sin(15) x 29= 830m max for a 15 degree fanout.

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going   so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me