How to find the distance, no air resistance
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How to find the distance, no air resistance

[From: ] [author: ] [Date: 11-06-14] [Hit: ]
the horizontal component of velocity is constant.E.g Projectile launched from building with velocity 30m/s at 40degrees to horizontal.If it is in the air for 5s,Y=vtsin(angle)-0,y=-0,......
For a projectile (unknown density/surface are) I have found the initial speed, distance and flight time, how do I find the horizontal distance air resistance didn't exist?
I cant just use a drag formula because the flight time would be higher if there was air resistance, right?

Please help! And thanks in advance :)

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For no air resistance,

X = Vi²*sin(2Θ)/g
where Θ is the initial angle of flight and the projectile lands at the same height it was fired from.

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If there is no air resistance. the horizontal component of velocity is constant.
So (horizontal distance) = (horizontal component of velocity) x time

E.g Projectile launched from building with velocity 30m/s at 40degrees to horizontal.
Horizontal component of velocity = 30cos40 = 23m/s

If it is in the air for 5s, horizontal distance = 23 x 5 = 115m

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this is a case of prjectile theory of motion
for these problems use the following equations:

x= vtcos(angle)
Y=vtsin(angle)-0,5*gt^2

if the launch angle =0 then
x=vt
y=-0,5gt^2
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