Finding the initial velocity of a vector

[HelloImAsh]

Homework Statement

An object that is thrown covers a distance of 8.59 m. If the angle at which it is thrown is 23 degrees, what is its initial velocity?

Homework Equations

5 kinematic equations:
a = (v2-v1)/t
d=0.5(v1+v2)t
d=v1t+0.5at^2
d=v2t-0.5at^2
v2^2=v1^2+2ad
Equation for uniform motion:
v=d/t


I have no idea how to solve this Any help is appreciated Thanks

 

[SammyS]

Homework Statement

An object that is thrown covers a distance of 8.59 m. If the angle at which it is thrown is 23 degrees, what is its initial velocity?

Homework Equations

5 kinematic equations:
a = (v2-v1)/t
d=0.5(v1+v2)t
d=v1t+0.5at^2
d=v2t-0.5at^2
v2^2=v1^2+2ad
Equation for uniform motion:
v=d/t


I have no idea how to solve this Any help is appreciated Thanks

Homework Statement

Homework Equations

The Attempt at a Solution

Horizontal motion is independent of vertical motion.

 

[HelloImAsh]

Horizontal motion is independent of vertical motion.

What do you mean?

 

[Eats Dirt]

Firstly you can break it into its horizontal and vertical vectors, and you know in the horizontal direction there is no force acting on it therefore its speed will stay constant.

In the vertical direction you may find how long the ball stays in the air for.

In summary find how long the ball was in the air for.

calculate the initial horizontal speed using V=d/t you now have t and d

 

[Nickie]

I can provide you with a step-by-step approach to solving this problem:

1. Identify the given information: We know the distance (8.59 m) and the angle (23 degrees) at which the object is thrown. We are looking for the initial velocity.

2. Draw a diagram: It is always helpful to visualize the problem. Draw a diagram with the given information. In this case, you can draw a horizontal line to represent the distance and an angled line representing the angle at which the object is thrown.

3. Use the appropriate equation: Since we are given the distance and the angle, we can use the equation for uniform motion (v=d/t) to calculate the initial velocity. However, we need to find the time (t) first.

4. Find the time: To find the time, we can use the equation d=v1t+0.5at^2, where v1 is the initial velocity and a is the acceleration. In this case, the object is thrown horizontally, so the acceleration due to gravity is 0. Therefore, the equation simplifies to d=v1t. We can rearrange this to get t=d/v1.

5. Substitute values and solve: Now, we can substitute the given values of distance (8.59 m) and angle (23 degrees) in the equation for time. This will give us an equation with only v1 as the unknown. We can solve this equation to find the initial velocity.

6. Check the units: Make sure to check the units of the final answer. In this case, the units should be in meters per second (m/s), since we are looking for the initial velocity.

So, the initial velocity of the object is approximately 3.97 m/s. I hope this helps you in solving the problem. Remember to always identify the given information, draw a diagram, and use the appropriate equation to solve any physics problem.