Projectile Motion Calculations for a Shell Fired at 30 Degrees

In summary, the conversation discusses solving a problem where a shell is fired at an angle of 30 degrees to the horizontal and stays in the air for 40 seconds. The task is to calculate the distance it lands from its original position and the highest point it can reach. The equations used for solving the problem are v = v_{0} + gt, s = ut + 0.5gt^2, and v^2 = u^2 + 2gs, and the parameters are the initial velocity, time, and acceleration due to gravity. The approach to solving the problem is to use linear motion equations and determine which equation fits the given values.
  • #1
mc2_phy
12
0

Homework Statement



A shell is fired at an abgle of 30 degrees to the horizontal. If the shell stays in the air for 40 seconds, calculate
a)how far it lands from it's original position
b)the highest point it can reach

Homework Equations



N/a

The Attempt at a Solution


I was unparticularly sure because the q says 40 seonds- should it be 40m/s
 
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  • #2
Is

v = v[itex]_{0}[/itex] +gt

a familiar equation?
 
  • #3
Use your linear motion equations.

v = u+gt
s = ut + 0.5gt^2
and v^2 = u^2+2gs

make an inventory of what parameter values you have and see which equation suits it best...
 
  • #4
No not really. Just wondering how you solve this.
 
  • #5
thank you.
 

FAQ: Projectile Motion Calculations for a Shell Fired at 30 Degrees

What is Newton's First Law of Motion?

Newton's First Law of Motion states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity, unless acted upon by an external force.

What is Newton's Second Law of Motion?

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. In other words, the greater the force applied to an object, the greater its acceleration will be, and the more massive the object, the less it will accelerate.

What is Newton's Third Law of Motion?

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. This means that whenever one object exerts a force on another object, the second object will exert an equal and opposite force back on the first object.

How are Newton's Laws of Motion related?

Newton's Laws of Motion are related in that they all describe the fundamental principles of motion and how objects behave when acted upon by forces. The First Law explains the concept of inertia, the Second Law explains the relationship between force, mass, and acceleration, and the Third Law explains how forces always occur in pairs.

How are Newton's Laws of Motion applied in real-world situations?

Newton's Laws of Motion are applied in many real-world situations, from the motion of planets and satellites in space to the motion of objects on Earth. They are used to design and operate machines, vehicles, and structures, and to understand and predict the behavior of objects in different environments.

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