Projectile Motion Problem: Calculating Muzzle Speed & Net Height | Homework Help

In summary, the conversation is about a test on projectile motion and a problem involving a circus performer being shot out of a cannon and flying over a horizontally placed net. The question is how to find the muzzle speed of the cannon and the height of the net. The attempted solution involves using the equations V=d/t and Vy=Voy+at, but the person is unsure of the steps involved in solving the problem. Another equation is suggested but it does not provide much help. The person's main issue is understanding when a variable is 0 or not.
  • #1
bmiller13
5
0

Homework Statement


I have a test on Projectile motion tomorrow, and I am just trying to figure out as much as I can about these kind of problems before that.


circus performer is shot out of a cannon and flies over a net that is placed horizontally 5.0 m from the cannon. When the cannon is aimed at an angle of 30° above the horizontal, the performer is moving in the horizontal direction and just barely clears the net as he passes over it.

(a) What is the muzzle speed of the cannon?
m/s
(b) How high is the net?


Homework Equations



V=d/t
Vy= Voy + at

i think that's it.

The Attempt at a Solution



Okay, so i tried...

v= d/t
Vo cos(30) = 5/t
Vo(.866)= 5/t
Vo(4.330) = t

Then I think I use Vy= Voy +at, but I don't know what to do, do I just use it like Vy= Vo sin(30) + (-9.8)(Vo(4.330))?

My biggest problem is that I don't know the steps in solving the problems, all my teacher has said to me is that I have to soolve for time and go from there.

Any help is appreciated.
 
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  • #2
There's another equation you can use y(t)=v0y*t-(1/2)*g*t^2. Does that help?
 
  • #3
not really, but ill keep that in mind, My real problem is I don't understand when a certain variable is 0 or not.
 
  • #4
bmiller13 said:
not really, but ill keep that in mind, My real problem is I don't understand when a certain variable is 0 or not.

That's kind of vague. And I've realized I jumped the gun on thinking you had t in terms of Vo. You had Vo(.866)= 5/t. You didn't solve for t correctly. Can you try that again?
 

FAQ: Projectile Motion Problem: Calculating Muzzle Speed & Net Height | Homework Help

What is projectile motion?

Projectile motion refers to the motion of an object that is launched into the air and then moves along a curved path under the influence of gravity. This type of motion is commonly seen in activities such as throwing a ball, shooting a cannon, or launching a rocket.

What factors affect projectile motion?

The factors that affect projectile motion are the initial velocity, the angle of launch, the force of gravity, and air resistance. These factors determine the shape and distance of the object's trajectory.

How is the trajectory of a projectile calculated?

The trajectory of a projectile can be calculated using the equations of motion, which take into account the object's initial velocity, acceleration due to gravity, and time. The equation for the horizontal motion is x = v0t, and the equation for the vertical motion is y = v0t - 1/2gt2, where v0 is the initial velocity, g is the acceleration due to gravity, and t is time.

What is the maximum height and distance of a projectile?

The maximum height and distance of a projectile depend on the initial velocity and angle of launch. The maximum height is reached when the vertical velocity is equal to zero, and the maximum distance is reached when the horizontal velocity is equal to zero. These values can be calculated using the equations of motion.

How does air resistance affect projectile motion?

Air resistance can affect projectile motion by slowing down the object's horizontal and vertical velocities. This can change the shape and distance of the trajectory. In some cases, air resistance may be negligible, such as in the case of a bullet, while in others, it may have a significant impact, such as in the case of a feather.

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