Two dimensional motion - intitial velocity?

In summary, to find the initial velocity of a projectile thrown horizontally, you first need to find the time it is in the air by using the formula d=v_{i}t + \frac{1}{2}at^{2} and considering only the vertical motion. Then, you can use the formula d=v_{horiz}t and the known horizontal distance to solve for the initial velocity. It is important to note that horizontal and vertical motion are independent of each other.
  • #1
erico004
3
0
two dimensional motion - intitial velocity??

so i have the vertical distance, 8.0 m, and the horizantal distance, 10.0 m, how do i find the initial velocity of the projectile??
 
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  • #2
I'm guessing this problem says that something was fired horizontally at an initial velocity v...blah blah, find v. Is that correct?
 
Last edited:
  • #3
no :[

a student threw a ball horizontally out of a window 8.0 m above the ground. it was caught at ground level by another student who was 10.0 m away. what was the initial velocity of the ball?

no masssss
 
  • #4
Ok. This is not hard. You have to break the problem up into two parts.

First, you want to find the time that the ball is in the air. To do this you only consider the vertical motion (You can do this since vertical and horizontal motion are independent of each other). So, initially there was no vertical velocity. using d=v[tex]_{i}[/tex]t + [tex]\frac{1}{2}[/tex]at[tex]^{2}[/tex] you can solve for the time.

Next, you consider the horizontal motion. Now we know the time and the horizontal distance. We also know that the horizontal velocity will stay constant. Now you can use d=v[tex]_{horiz}[/tex]t and solve for the velocity.

Hope that helps.
 

Related to Two dimensional motion - intitial velocity?

1. What is two dimensional motion?

Two dimensional motion refers to the movement of an object in two different directions, typically represented by the x and y axes. This type of motion involves both horizontal and vertical components and can be described using vectors.

2. What is initial velocity?

Initial velocity, also known as initial speed, is the velocity of an object at the beginning of a time interval. It is a vector quantity that includes both the magnitude (speed) and direction of motion. It is typically denoted by the letter v0 or u.

3. How is initial velocity calculated?

Initial velocity can be calculated by dividing the displacement of an object by the time it takes to travel that distance. This can be represented by the equation v0 = Δx/Δt. It can also be calculated using the equation v0 = ux + uy, where ux and uy are the horizontal and vertical components of the initial velocity.

4. Why is initial velocity important in two dimensional motion?

Initial velocity is important in two dimensional motion because it helps determine the trajectory of an object. The direction and magnitude of the initial velocity will affect how the object moves in both the horizontal and vertical directions. It also plays a key role in calculating other variables such as acceleration and displacement.

5. How does initial velocity affect the motion of an object?

The initial velocity of an object affects its motion in several ways. First, it determines the speed at which the object is moving. Second, it determines the direction of the object's motion. Lastly, it affects the object's acceleration and therefore its change in velocity over time. A higher initial velocity will result in a faster and/or farther motion, while a lower initial velocity will result in a slower and/or shorter motion.

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