Projectile Motion Help: Find Minimum Angle for Target Projection

In summary, the problem involves a target being projected at an unknown angle and distance with an initial speed of 4 m/s. The target's height is given as 0.8m and the goal is to find the minimum angle needed to hit the target. To solve this, equations for both vertical and horizontal motions must be set up and the unknown distance can be solved for by cancelling out the parameter of time. The resulting distance will provide the angle needed to hit the target.
  • #1
zebra1707
107
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.
 
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  • #2


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!
 

Related to Projectile Motion Help: Find Minimum Angle for Target Projection

1. What is projectile motion?

Projectile motion refers to the motion of an object that is thrown or projected into the air and is acted upon by gravity. It follows a curved path known as a parabola.

2. How is projectile motion calculated?

Projectile motion can be calculated using equations of motion, which take into account the initial velocity, acceleration due to gravity, and time. These equations can be used to determine the object's position, velocity, and acceleration at any given time.

3. What factors affect projectile motion?

The factors that affect projectile motion include the initial velocity, angle of projection, air resistance, and the force of gravity. These factors can alter the trajectory and distance of the projectile.

4. How does projectile motion differ from regular motion?

Unlike regular motion, projectile motion is affected by both horizontal and vertical forces. While the horizontal velocity remains constant, the vertical velocity is continuously changing due to the force of gravity.

5. What are some real-life examples of projectile motion?

Some common real-life examples of projectile motion include throwing a ball, shooting a basketball, and launching a rocket into space. These movements all follow a curved path due to the force of gravity.

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