Simple projectile motion problem

In summary, the conversation discusses a problem with finding the angle of elevation needed to hit a target with a given muzzle speed and distance. The user has attempted to solve the problem using an equation and has checked their work, but the server is not accepting their answer. They are seeking help from others to identify where they may be making a mistake.
  • #1
jayman011
1
0
Hi, I am a new member on your site, but been a long time lurker for the many times the forums have saved me lots of grief. Heres the problem, its a simple angle of elevation problem on our online Calculus homework site called webwork, I am fairly certain I know how to work this problem, but the server will not accept the answer, maybe someone can spot where I am messing up.

Homework Statement



A gun has a muzzle speed of 80 meters per second. What angle of elevation should be used to hit an object 190 meters away? Neglect air resistance and use as the acceleration of gravity.

Homework Equations



R = (V^2) (sin(2A)) / g

The Attempt at a Solution



Ive solved the equation for alpha numerous times

190=80^2(sin(2A)/9.8

A=(sin^-1((190*9.8)/80^2))/2

Get 0.1476 radians in the calculator, but it don't like it, checked to make sure i was in radians, even solved in degrees and converted to radians, still not right, any help would be greatly appreciated.
 
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  • #2
Looks good to me...
0.1476 rad [itex]\approx[/tex] 8.457[itex]^\circ[/tex]
 

FAQ: Simple projectile motion problem

What is simple projectile motion?

Simple projectile motion is a type of motion where an object is thrown or projected into the air and moves in a curved path due to the influence of gravity.

What are the key components of a simple projectile motion problem?

The key components of a simple projectile motion problem include the initial velocity of the object, the angle of projection, the acceleration due to gravity, and the time of flight.

How do you calculate the range of a projectile?

The range of a projectile can be calculated using the formula range = (initial velocity)^2 x sin(2*angle of projection) / acceleration due to gravity.

What is the maximum height reached by a projectile?

The maximum height reached by a projectile can be calculated using the formula maximum height = (initial velocity)^2 x sin^2(angle of projection) / (2 x acceleration due to gravity).

What assumptions are made in a simple projectile motion problem?

The main assumptions made in a simple projectile motion problem are that there is no air resistance and that the acceleration due to gravity is constant. These assumptions may not hold true in real-world scenarios, but they make the calculations simpler and more manageable.

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