# Question about Shooting over a Hill

Not what you're looking for?

See attached

A. Find the highest point in the trajectory, .

Express the highest point in terms of the magnitude of the acceleration due to gravity , the initial velocity , and the angle .

B. What is the range of the projectile, ?

Express the range in terms of , , and .

Consider your advice to an artillery officer who has the following problem. From his current position, he must shoot over a hill of height at a target on the other side, which has the same elevation as his gun. He knows from his accurate map both the bearing and the distance to the target and also that the hill is halfway to the target. To shoot as accurately as possible, he wants the projectile to just barely pass above the hill.

A. Find the angle above the horizontal at which the projectile should be fired.

Express your answer in terms of and .

B. What is the initial velocity?

Express in terms of , , and .

C. Find , the flight time of the projectile.

Express the flight time in terms of and .

##### Purchase this Solution

##### Solution Summary

The solution provides step-by-step calculations for: highest point in trajectory, range, angle, initial velocity, and flight time.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### The Moon

Test your knowledge of moon phases and movement.