An artillery gunner is on top of a 50.0 m high hill. 10.0 km away from...
An artillery gunner is on top of a 50.0 m high hill. 10.0 km away from the base of the hill, a tank is advancing towards the gunner at a speed of 15.0 m/s. The artillery piece launches projectiles at velocity of 590 m/s. At what angle above the horizontal should the gunner fire to hit the tank?
a) Write an equation for the height of the projectile as a function of time.
b) Write an equation for the horizontal position of the projectile as a function of time.
c) Write an equation for the horizontal position of the tank as a function of time.
d) Write the equations that must be satisfied for the projectile to hit the tank.
e) Combine the equations to give a single equation in one unknown, q.
f) Solve for the angle. (An approximate solution can be obtained via the small-angle approximation, and a more accurate approximation by iteration.)
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An artillery gunner is on top of a 50.0 m high hill. 10.0 km
away from...
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