Projectile Motion (Ball thrown Hortizonally)

In summary, the ball was thrown horizontally at 22.47 m/s and traveled a horizontal distance of 43.15 m before hitting the ground. Using the fact that there is no acceleration in the horizontal direction, the time it takes to hit the ground can be calculated. With an initial y-velocity of 0 m/s, the height from which the ball was thrown can then be determined using kinematic equations.
  • #1
talaroue
303
0

Homework Statement


A ball thrown horizontally at 22.47 m/s travels a horizontal distance of 43.15 m before hitting the ground. From what height was the ball thrown?


Homework Equations


Vfy=Viy-g(delta t)
yf=yi+Viy(delta t)-.5g(delta t)^2
yf=yi-(Vfy^2-Viy^2)/2g


The Attempt at a Solution


Since its thrown horizontally does it arc above the intial position or does it just start its decent so instead of being a upside down "u" shape it just has like a backwards "r" shape?
 
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  • #2
Never heard of those shapes before. Knowing that there is no acceleration in the horizontal direction, you can get the time it takes to hit the ground with horizontal velocity and displacement.

Then you know that the initial y-velocity is 0 m/s. So just solve a kinematic equation for the height knowing the time it takes to fall to the ground with 0 initial velocity.
 
  • #3
haha it was a bit unorthidox method of looking at it but I understand it now thanks.
 
  • #4
No problem.
 

1. What is projectile motion?

Projectile motion is the motion of an object that is thrown or projected into the air, under the influence of gravity. It follows a curved path known as a parabola.

2. What factors affect the trajectory of a projectile?

The trajectory of a projectile is affected by the initial velocity, the angle at which it is launched, and the force of gravity.

3. How does air resistance impact projectile motion?

Air resistance, also known as drag, can affect the trajectory of a projectile by slowing it down and changing its direction. This is more noticeable for lighter objects with larger surface areas.

4. What is the difference between horizontal and vertical motion in projectile motion?

Horizontal motion refers to the motion along the x-axis, while vertical motion refers to the motion along the y-axis. In projectile motion, the horizontal motion is constant while the vertical motion is affected by gravity.

5. How does the range of a projectile change with different initial velocities?

The range of a projectile increases with a higher initial velocity, as long as the angle of projection and force of gravity remain constant. This is because a higher initial velocity means the projectile will travel further before hitting the ground.

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