Math Problem Statement
Solve for initial velocity
Solution
To solve for the initial velocity , we can use the formula provided in the image:
where:
- (acceleration due to gravity),
- Average hang time is given as .
Substitute the values:
Now, calculating:
Answer:
The initial velocity is approximately .
Would you like further explanation on any part of this solution?
Related Questions:
- How does the angle affect the initial velocity calculation if it was included?
- What would the initial velocity be if the hang time were doubled?
- How does gravity influence the hang time in a projectile motion scenario?
- What formula would we use if only the maximum height reached was given?
- How would air resistance impact the initial velocity calculation?
Tip:
In projectile motion, always break down motion into vertical and horizontal components to simplify calculations, especially when initial velocity and angles are involved.
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Math Problem Analysis
Mathematical Concepts
Projectile Motion
Kinematics
Formulas
T = (2 * v_0 * sin(θ)) / g
v_0 = (g * average hang time) / 2
Theorems
Equations of motion under constant acceleration
Suitable Grade Level
Grades 10-12
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