Projectile Motion: Minimum Velocity for Overcoming an Obstacle

In summary, to find the minimum velocity needed to launch a projectile over a fence of width d and height y, we can use the equations of projectile motion such as x(t) = v0xt and y(t) = -½gt2+voyt. By setting x(T) = L and y(T) = h, we can create a collection of variables to represent the unknown launch parameters, as well as any variables needed to connect the horizontal and vertical constraints. This will allow us to write equations and solve for the minimum velocity needed.
  • #1
Jerry Smith
1
0

Homework Statement



A projectile needs to be launched over a fence of width d, and height y. Find the minimum velocity needed.

Homework Equations



Projectile Motion etc..

The Attempt at a Solution


[/B]
x(t) = v0xt
y(t) = -½gt2+voyt

Setting:

x(T) = L
y(T) = h

 
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  • #2
Maybe provide a diagram and define what T, L, and h are.
 
  • #3
As paisiello2 says, think about how the trajectory will relate to the fence. Draw yourself a diagram, even if you don't post it.
You need to create a collection of variables to represent all the unknown launch parameters. What are they?
You will also need variables for any unknowns that help you connect the horizontal constraints with the vertical ones (like, time to reach a certain point).
Then you can write some equations using the variables you created and expressing the trajectory constraints.
 

Related to Projectile Motion: Minimum Velocity for Overcoming an Obstacle

1. What is projectile motion?

Projectile motion is the motion of an object through the air or space under the influence of gravity. It can be described as the combination of horizontal motion and vertical motion.

2. What are the factors that affect projectile motion?

The factors that affect projectile motion include the initial velocity, angle of launch, air resistance, and the force of gravity. These factors determine the trajectory and landing point of the projectile.

3. How do you calculate the range of a projectile?

The range of a projectile can be calculated using the equation: R = (V^2 * sin(2θ))/g, where R is the range, V is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity (9.8 m/s^2).

4. Can a projectile have a negative range?

Yes, a projectile can have a negative range if it is launched at an angle greater than 90 degrees. In this case, the projectile will travel backwards and have a negative range.

5. How does air resistance affect projectile motion?

Air resistance or drag can affect the trajectory and range of a projectile by slowing it down and altering its path. This is why objects with a larger surface area, such as feathers, tend to fall slower than objects with a smaller surface area, such as a ball.

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