Projectile Motion Help: Find Minimum Angle for Target Projection

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SUMMARY

The discussion focuses on calculating the minimum angle required for a projectile to hit a target at a height of 0.8 meters, projected at an initial speed of 4 m/s. The user initially calculated the time of flight as 0.41 seconds and derived a distance of 1.63 meters, leading to an angle of 30 degrees. However, it was suggested that the user should set up separate equations for vertical and horizontal motions and incorporate an unknown distance "d" to achieve a more accurate solution. This approach will yield the correct angle for the projectile to reach the target height.

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zebra1707
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Projectile motion - urgent help needed

Homework Statement



Target is projected at an an angle to the horizontal, initial speed 4 m/s, unknown angle and unknown distance to the target. Height of the target is 0.8m.

Need to find the minimum angle.


Homework Equations



v= u+at
v = delta s/delta t
sin theta ?

The Attempt at a Solution



0 = 4 + (-9.8)t
9.8t =4/9.8
t = 0.408 (0.41) s (i think that this is wrong as it may be the time for the "entire" flight of the projectile.

v = delta s/delta t
v delta t = delta s
4 x 0.41

Delta s = 1.63

sin-1 = 0.8/1.63

angle = 30 degrees

Can the gurus please check this because I think that I have the entire flight of the projectile - not the max height where it will hit the target.

Cheers and thanks.
 
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You should try setting up equations for both vertical and horizontal motions. Then you should have an unknown "d" for distance in the equations. Join x-y by cancelling the parameter "time t". Consider d as a real root and you are done!
 

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