Kinematics Problem Ball throwing

In summary, the conversation is about solving a projectile problem using a mirror trick to reduce it to a more standard problem. The person being asked for help approves of the work done and provides a figure for reference. The original problem is to find the horizontal range of a blue trajectory.
  • #1
alingy1
325
0
Hi,

Could you please look at this problem in the picture and my steps?
(check my answer)

I do not have the solutions to the problem weirdly.
 

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  • #2
Hello, alingy1. Your work looks good to me.

As a check, think of the wall as a mirror and reflect the second part of the trajectory to the other side of the wall. Use this trick to reduce the problem to a more standard projectile problem.
 
  • #3
TSny, could you be more specific about your technique? It sounds really interesting but I'm not sure how the number crunching goes.
 
  • #4
See the attached figure. Can you find the horizontal range of the blue trajectory?
 

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  • #5
That makes perfect sense! Thanks.
 

FAQ: Kinematics Problem Ball throwing

How do you calculate the initial velocity of a ball thrown?

The initial velocity of a ball can be calculated using the equation v0 = d/t, where v0 is the initial velocity, d is the distance traveled, and t is the time taken.

What is the equation for calculating the trajectory of a thrown ball?

The equation for calculating the trajectory of a thrown ball is y = y0 + v0t + (1/2)at2, where y is the height, y0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity.

How does air resistance affect the motion of a thrown ball?

Air resistance can affect the motion of a thrown ball by slowing it down and altering its trajectory. This is because air resistance creates a force that acts in the opposite direction of the ball's motion, reducing its speed and changing its direction.

How do you determine the maximum height reached by a thrown ball?

The maximum height reached by a thrown ball can be determined by using the equation y = (v02sin2θ0)/2g, where v0 is the initial velocity, θ0 is the angle of the throw, and g is the acceleration due to gravity.

How do you calculate the time of flight for a thrown ball?

The time of flight for a thrown ball can be calculated using the equation t = 2v0sinθ0/g, where v0 is the initial velocity, θ0 is the angle of the throw, and g is the acceleration due to gravity.

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