There are n>2 artillery pieces trying to bombard a target. The first artillery is a distance d away from the target, and
Posted: Sun May 22, 2022 6:47 am
There are n>2 artillery pieces trying to bombard a target.
The first artillery is a distance d away from the target, and the
second is a distance d away from the first artillery, so on and so
forth, with each artillery piece lined up behind the previous one,
like so in this diagram:
X----------\o---------\o----------\o---------~~~~~~---\o----------\o
Let the angle between the ground and the gun barrel be Theta.
Artillery pieces can not shoot with Theta <45 degrees, so in
order to hit the target the first piece almost points directly up,
the second slightly less so, until the nth piece has Theta=45
degrees. Assume each shell leaves the gun barrel at the exact same
speed, all guns fire simultaneously and all shells have parabolic
trajectories that intercept the ground exactly at the target,
ignore air resistance, choose ALL of the correct statements:
A. The shells land more frequently at first and more sparsely
towards the end of the bombardment
B. The shells land more sparsely at first and more frequently
towards the end of the bombardment
C. For all n>2, mid-air collisions will always happen between
at least two shells
D. The shells land with uniform frequency
E. The shells land at the exact same time
F. The shell from the 1st artillery piece lands first
G.The shell from the nth artillery piece lands first
H. F and G are both false
Thank you
The first artillery is a distance d away from the target, and the
second is a distance d away from the first artillery, so on and so
forth, with each artillery piece lined up behind the previous one,
like so in this diagram:
X----------\o---------\o----------\o---------~~~~~~---\o----------\o
Let the angle between the ground and the gun barrel be Theta.
Artillery pieces can not shoot with Theta <45 degrees, so in
order to hit the target the first piece almost points directly up,
the second slightly less so, until the nth piece has Theta=45
degrees. Assume each shell leaves the gun barrel at the exact same
speed, all guns fire simultaneously and all shells have parabolic
trajectories that intercept the ground exactly at the target,
ignore air resistance, choose ALL of the correct statements:
A. The shells land more frequently at first and more sparsely
towards the end of the bombardment
B. The shells land more sparsely at first and more frequently
towards the end of the bombardment
C. For all n>2, mid-air collisions will always happen between
at least two shells
D. The shells land with uniform frequency
E. The shells land at the exact same time
F. The shell from the 1st artillery piece lands first
G.The shell from the nth artillery piece lands first
H. F and G are both false
Thank you