What Are the Key Formulas for Projectile Motion?

In summary: The formula is used to find the displacement (x) at a given time (t) when the initial velocity (V0) is known.
  • #1
Neek 007
41
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I'm having trouble with projectile motion, mainly with understanding which formulas do what. I understand some, others I do not.
Here are my formulas:

Vx= V cos theta-- I know this is to find x components
Vx= V sin theta-- I know this is to find y components

tan theta=Ry/Rx-- I know i use my resultant x and y components in these, but I don't know what tan theta is.

X=V0t-- I do not understand this formula

Its mainly the V0x and V0y that I do not understand.

Thank you for your help.
 
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  • #2
Neek 007 said:
tan theta=Ry/Rx-- I know i use my resultant x and y components in these, but I don't know what tan theta is.

It's the tangent of the angle theta, which is most likely your incident angle.

X=V0t-- I do not understand this formula

It has units of (m/s)*(s) = m. Therefore it is a distance. In the above example it'd be the distance in the x-direction.

Its mainly the V0x and V0y that I do not understand.

I think you might mean V0x and V0y? That's more or less standard notation for the initial velocity in the x or y directions.
 
  • #3
V0x and V0y are the initial vector components, I was confused on this too.
 
  • #4
Thank you,it's always the small things that can mess one up.
 
  • #5
X=V0t
this is for 1D motion and you travel at a constant velocity, so keep that in mind
 

FAQ: What Are the Key Formulas for Projectile Motion?

1. What is projectile motion?

Projectile motion is the motion of an object that is thrown or launched into the air and moves under the influence of gravity alone.

2. How is projectile motion different from regular motion?

Unlike regular motion, which follows a straight path, projectile motion follows a curved path due to the effects of gravity.

3. What factors affect the trajectory of a projectile?

The factors that affect the trajectory of a projectile include the initial velocity, the angle at which it is launched, and the force of gravity.

4. How can we calculate the maximum height and range of a projectile?

To calculate the maximum height of a projectile, we can use the formula h = (v^2 * sin^2θ) / (2g), where v is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity. To calculate the range, we can use the formula R = (v^2 * sin2θ) / g.

5. Can air resistance affect projectile motion?

Yes, air resistance can affect projectile motion by slowing down the projectile and altering its trajectory.

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