Calculating Projectile Motion: Solving for Distance and Height

AI Thread Summary
A ball is tossed from a building with an initial velocity of 8.20 m/s at a 15.0° angle below the horizontal and strikes the ground after 3.00 seconds. The discussion focuses on calculating the horizontal distance the ball travels, the height from which it was thrown, and the time to reach a point 10.0 m below the launch level. Participants emphasize the importance of resolving the initial velocity into horizontal and vertical components to apply the correct equations of motion. Confusion arises around the calculations, particularly regarding the use of negative values for downward motion. The thread concludes with encouragement to visualize the problem through diagrams for better understanding.
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Homework Statement


A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.20 m/s at an angle of 15.0° below the horizontal. It strikes the ground 3.00 s later.
(a) How far horizontally from the base of the building does the ball strike the ground?
4.90wrong check mark m
(b) Find the height from which the ball was thrown.
wrong check mark m
(c) How long does it take the ball to reach a point 10.0 m below the level of launching?



Homework Equations


i think the equations are r= v^2(sin2theta)/g
h= v^2(sintheta)2/2g


The Attempt at a Solution


i tried pluggin in the values to get how far it traveled and the height..but I am getting it wrong

any help would be appreciated
 
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Work out the velocity component downward.
Then it's just the normal moving object equations except the initial velocity isn't zero.
 
im not sure wat you mean by that

make the velocity -8.2?
im so confused
 
You need to resolve the velocity vector into horizontal and vertical components. Then, what mgb is saying, is you consider the vertical component.
 
o ok into two different components

so they give me 8.2 m/s
thats my resultant vector rite?

so i just do 8.2(cos15) ??
 
Draw a diagram (triangle) - it should be obvious how much of the diagonal speed goes horizontally and how much vertically.
 
alrite cool
thanks a lot guys
 
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