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## Homework Statement

I have a homwork question that I've been having some trouble with but have come up with a solution.. can someone please verify that i'm on the right path????

The homwork problem is here http://i51.tinypic.com/bbeaf.jpg

## Homework Equations

vx= vocos(theta) vy=vosin(theta)

constant vel equations for physics 1

## The Attempt at a Solution

Spliting the motion into x-y axis

Horizontal: u= vocosα= 15cosα, a=0, d= 2.5 m

Vertical= u= u= vosinα= 15sinα, a= -9.8, d= 0.05 m

Horizontal: no acceleration so constant velocity time taken to reach to the center

t= 2.5/15cosα = 1/6cosα

Vertical:

-s = +(15sinα)t + 0.5*(-9.8)*t^2

-0.05 = +(15sinα) (1/6cosα) - 0.5*9.8*(1/6cosα)^2

-0.05 = +(2.5tanα) - 4.9/(36sec^2α)

-0.05 = +(2.5tanα) - 4.9(cos^2α) /36

Because angle is very small, cos^2 α ~ 1 .

-0.05= +(2.5tanα) - 4.9/36

α = tan^-1 (0.086)

α = 4.915 degree

now Yoffset

in vertical motion,

Vertical: v=0 ; u= vosinα= 15sinα, a= -9.8, d= ?

02 = (15sin4.92)2 +2*-9.8d

D=8.444 cm (converted from 0.084m to cm)

Yoffset= 13.444 cm

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