Angle of a trajectory required to make it go a specified distance?

In summary, the problem is to determine the angle of elevation needed for a gun with a muzzle speed of 100 meters per second to hit an object 180 meters away, assuming no air resistance and using g = 9.8 m / sec^2 as the acceleration of gravity. The person asking for help attempted to solve it by calculating the time needed for the bullet to travel the distance and then finding the corresponding height, but is now seeking assistance due to being unsure of their approach. Another person offers to help if they show their work so far.
  • #1
dimmermanj
3
0
Here is the problem at hand:

A gun has a muzzle speed of 100 meters per second. What angle of elevation should be used to hit an object 180 meters away? Neglect air resistance and use g = 9.8 m / sec^2 as the acceleration of gravity.


I attempted to solve this by calculating the time required for the ball to travel the distance and then correlating that with the height to equal zero at that time..but honestly I'm just plain lost on this one, so any help would be great!

Jim
 
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  • #2
If you show us what you have done, we can help find the errors. No effort, no help.
 

1. What is the angle of a trajectory?

The angle of a trajectory refers to the angle at which an object or projectile is launched or thrown in relation to the ground.

2. How is the angle of a trajectory calculated?

The angle of a trajectory can be calculated using trigonometry, specifically the tangent function. This involves knowing the initial velocity, the distance traveled, and the acceleration due to gravity.

3. What factors affect the angle of a trajectory?

The angle of a trajectory is affected by the initial velocity, the distance to be traveled, the acceleration due to gravity, and any external forces such as wind or air resistance.

4. How does the angle of a trajectory impact the distance traveled?

The angle of a trajectory has a significant impact on the distance traveled. A lower angle (closer to the ground) will result in a shorter distance, while a higher angle (closer to vertical) will result in a longer distance.

5. Can the angle of a trajectory be adjusted to achieve a specific distance?

Yes, the angle of a trajectory can be adjusted to achieve a specific distance. By calculating the necessary angle based on the other factors involved, the object or projectile can be launched at the desired angle to reach the specified distance.

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