Height, Velocity, Angle, Gravity = Range

AI Thread Summary
The discussion focuses on calculating the range of a projectile launched from a height of 7.5 feet with an initial velocity of 80 m/s at a 45-degree angle, considering gravity and neglecting air resistance. The initial approach involved using the range equation for a ground launch, which yielded a result of 58.716 meters. The user then realized the need to adjust for the starting height by applying the equation d_f = (at^2)/2 + v_i(t) + d_i to find the time of flight before calculating the range. Ultimately, the user confirmed they had figured out the problem, noting that the final velocity remains the same while moving downward. The discussion highlights the importance of incorporating initial height into projectile motion calculations.
Crookes
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Homework Statement


Im working on a project for school. We're suppost to learn something and teach it to the class, and I am having a hard time with this one. What I am looking for is an equation. I just don't know how to work height into what I have figured out so far. It is projection based.

Looking for range.
V(in)= 80 m/s
Angle= 45
Starting height Height= 7.5 ft

Homework Equations


No air resitence
Gravity is in effect

The Attempt at a Solution


If I was from the ground the equation would look like this

R = 24 m/s^2 sin 2 45* giving me 58.716 meters
----- 9.81 m/s^2
 
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Try the equation d_f = (at^2)/2 + v_i(t) + d_i. Find the time first and then calculate the range.
 
Im so dence... I have it figurd out now lol. Thanks anyway! My final velocity is the same, just moving downward. I have acceleration, and distance. Thanks!
 

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