Question

In: Physics

A naval gun aboard a ship is mounted so as to fire at 30◦above the horizontal.Shells...

A naval gun aboard a ship is mounted so as to fire at 30◦above the horizontal.Shells fired from this gun have a muzzle velocity of 0.35km/s. The ship makesa direct approach toward a bunker on a high clifftop 150m above sea-level.It is known that the approaches to the shore have been heavily mined andthat no ship can come closer than 5km.At what horizontal range from the bunker should the ship open fire so asto strike the bunker? (Neglect air resistance, the speed of the ship, and theheight of the gun itself above sea-level.)

Expert Solution

Given:

Launch angle,

Launch velocity,

The vertical height of bunker,

---------

Consider the vertical motion of the shell

Use formula

Initially, the shell is rising and g is acting downwards, so put a negative sign for g.

Solve the quadratic equation using a calculator

====================

Consider the horizontal motion of the shell

There is no acceleration in the horizontal direction, so horizontal direction remains constant.

Horizontal velocity = Range/Time of flight

ANSWER:

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genius_generous answered 1 year ago

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