Projectiles launched from platforms of different elevation.

  • Thread starter Vikings230
  • Start date
  • Tags
    Projectiles
In summary, the problem asks for the initial velocity of a ball kicked from a 3.2m high platform at an angle of 20 degrees above the horizontal. The ball travels 100m and there is no air resistance. The equations v = vo + at, x = xo + vo t + ½ a t^2, and v^2 = vo^2 + 2a(x - xo) can be used to solve the problem. The initial velocity is estimated to be between 35 and 40, but a more accurate method is needed.
  • #1
Vikings230
1
0
1."A ball is kicked from a platform 3.2m above the ground at an angle of 20 degrees above the horizontal. If the ball lands on the ground 100m away, what is the initial velocity of the ball?" There is no air resistance acting upon the ball and we have to use constant acceleration equations.



2. v = vo + at
x = xo + vo t + ½ a t^2
v^2 = vo^2 + 2a(x - xo)

3. The farthest that I've been able to get is that it is between 35 and 40 but that is only by guess and check which is not an acceptable method. Any input helps. Thanks!
 
Physics news on Phys.org
  • #2
Hi Vikings,

Is it the height of the platform that is confusing you? In other words, would you be able to solve the problem if the platform were at ground height?
 

1. What is the significance of launching projectiles from platforms of different elevation?

Launching projectiles from platforms of different elevation allows for the study of various factors that affect the trajectory of the projectiles, such as gravity, air resistance, and initial velocity. It also helps in understanding the relationship between the height of the platform and the distance travelled by the projectile.

2. How does the angle of elevation affect the range of a projectile?

The angle of elevation, or the angle at which the projectile is launched, greatly affects the range of the projectile. A higher angle of elevation will result in a longer range, as the projectile spends more time in the air and has a higher initial velocity. A lower angle of elevation will result in a shorter range.

3. What is the difference between horizontal and vertical motion of projectiles launched from different elevations?

Horizontal motion refers to the motion of the projectile parallel to the ground, while vertical motion refers to the motion of the projectile perpendicular to the ground. When launched from different elevations, the horizontal and vertical motions of a projectile are affected differently by factors such as gravity and air resistance.

4. How does the mass of a projectile affect its trajectory when launched from different elevations?

The mass of a projectile has a minimal effect on its trajectory when launched from different elevations. As long as the initial velocity and angle of elevation are kept constant, the mass of the projectile will not significantly impact its trajectory. However, a heavier projectile may experience slightly more air resistance, which can affect its range.

5. What are some real-world applications of studying projectiles launched from different elevations?

Studying projectiles launched from different elevations has various real-world applications, such as in the field of ballistics for designing weapons, in sports such as archery and javelin throwing, and in space exploration for launching rockets. It also helps in understanding natural phenomena such as volcanic eruptions and meteor impacts.

Similar threads

Projectile Motion Question: A projectile is fired on a long flat firing range....
    • Introductory Physics Homework Help
Replies
3
Views
3K
Needing some help about time of flight of a launched ball/horiz range
    • Introductory Physics Homework Help
Replies
6
Views
2K
Make 2 launchers that shoot a straw with clay at the end
    • Introductory Physics Homework Help
Replies
3
Views
440
Baseball in the air 2D motion question
    • Introductory Physics Homework Help
Replies
1
Views
1K
Projectile Motion - object that is shot at an angle of 55 degrees
    • Introductory Physics Homework Help
Replies
8
Views
2K
Uniform Circular Motion and Projectile Motion Help
    • Introductory Physics Homework Help
Replies
14
Views
1K
Maximize Range of Projectile Launched from Cliff
    • Introductory Physics Homework Help
Replies
17
Views
2K
Mechanics: calculating launch angle of projectile
    • Introductory Physics Homework Help
2
Replies
36
Views
2K
Understanding Sign Conventions in Elevator Tension Problems
    • Introductory Physics Homework Help
Replies
6
Views
2K
Projectile Motion: Calculating Velocity from Cliff Height and Launch Angle
    • Introductory Physics Homework Help
Replies
13
Views
3K

Hot Threads

Recent Insights

Back
Top