Projectile Motion Help: Find Minimum Angle for Target Projection

AI Thread Summary
The discussion focuses on calculating the minimum angle required for a projectile to hit a target 0.8 meters high, projected at an initial speed of 4 m/s. The initial calculations suggest a time of flight of approximately 0.41 seconds, leading to a distance of 1.63 meters. However, there is uncertainty about whether this time represents the entire flight duration or just the ascent to maximum height. Participants recommend setting up separate equations for vertical and horizontal motions and eliminating time to solve for the unknown distance. The conversation emphasizes the importance of correctly analyzing the projectile's trajectory to determine the accurate launch angle.
zebra1707
Messages
106
Reaction score
0
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.
 
Physics news on Phys.org


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!
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top