Finding time and initial velocity of a vertically displaced launch

In summary, the initial velocity of a vertically displaced launch can be calculated using the formula v = √(2gh), where v is the initial velocity, g is the acceleration due to gravity (9.8 m/s²), and h is the height of the launch. The time and initial velocity in a vertically displaced launch are directly proportional, meaning that as the initial velocity increases, the time taken for the object to reach its peak height also increases. The angle of launch does not affect the time and initial velocity, as long as the launch is in a vertical direction. The initial velocity of a vertically displaced launch can be negative if the object is launched downwards. In most cases, air resistance can be neglected when calculating the time and initial
  • #1
Brooke96
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Homework Statement


A projectile is launched 0.635 m above the ground at an angle of 72.2°. It lands on the ground 1.64 m away


Homework Equations





The Attempt at a Solution



Ive tried so many different equations and have looked up different ways, but I just don't know what I'm doing anymore
 
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  • #2
We don't know what you've tried either. If you post your work, it would help us to see where you've gone wrong.

In any event, draw a sketch of your problem and use the standard motion equations.
 

1. How do you calculate the initial velocity of a vertically displaced launch?

The initial velocity of a vertically displaced launch can be calculated using the formula v = √(2gh), where v is the initial velocity, g is the acceleration due to gravity (9.8 m/s²), and h is the height of the launch.

2. What is the relationship between time and initial velocity in a vertically displaced launch?

The time and initial velocity in a vertically displaced launch are directly proportional. This means that as the initial velocity increases, the time taken for the object to reach its peak height also increases.

3. How does the angle of launch affect the time and initial velocity in a vertically displaced launch?

The angle of launch does not affect the time and initial velocity in a vertically displaced launch. As long as the launch is in a vertical direction, the time and initial velocity will remain the same.

4. Can the initial velocity of a vertically displaced launch be negative?

Yes, the initial velocity of a vertically displaced launch can be negative if the object is launched downwards. In this case, the initial velocity will be represented as a negative value in the formula v = √(2gh).

5. Is it necessary to take air resistance into account when calculating the time and initial velocity of a vertically displaced launch?

In most cases, air resistance can be neglected when calculating the time and initial velocity of a vertically displaced launch. However, if the object is traveling at high speeds or over long distances, air resistance may have a slight effect and should be taken into consideration.

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