Odd projectile motion question.

In summary, the time of flight of the lure through the air is 3.4 seconds, with a gravitational constant of 9.8m/s/s. To calculate the maximum height of the lure in its projectile motion, you can use the equation d = (0)(t) + (1/2)(a)(t^2), where t is half of the time of flight. In this case, the maximum height is 12.544 meters.
  • #1
letsfailsafe
21
0

Homework Statement


Question: "The time of flight of the lure through the air is 3.4 seconds. (g= 9.8m/s/s)
Calculate the maximum height of the lure in its projectile motion."


Homework Equations


Not sure if I need to use this:
d = (u)(t) + (1/2)(a)(t^2)


The Attempt at a Solution



I don't know how this really works...

I'm guess to half the time (3.4/2). Thats the time when the object is at rest for a very short time (initial velocity would be 0). And use that equation on to solve the d.
 
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  • #2
Once the object is at rest (top of the trajectory) what follows (on the vertical axis) is just a free fall, isn't it?
 
  • #3
You could start by finding the initial vertical component of velocity and using another kinematic relation to find the height. Or do as Borek suggested.
 
  • #4
So...

d = (0)(1.6) + (1/2)(9.8)(1.6)^2

= 12.544 m

Is it right?
 
  • #5
The time of flight of the lure through the air is 3.4 seconds means the lure left the Earth at t=0 and landed back to Earth at 3.4sec.

So vertically the final position is back to where it started.
Y position is a horizontal line parallel to x-axis.
 
  • #6
letsfailsafe said:
So...

d = (0)(1.6) + (1/2)(9.8)(1.6)^2

= 12.544 m

Is it right?
Right idea, but 3.4/2 ≠ 1.6. :wink:
 

1. What is odd projectile motion?

Odd projectile motion refers to the motion of an object that is launched at an angle, but experiences a different trajectory than a regular projectile due to external forces acting on it, such as air resistance or non-uniform gravitational fields.

2. How is odd projectile motion different from regular projectile motion?

Unlike regular projectile motion, where the trajectory of an object follows a parabolic path, odd projectile motion can have a curved, zigzag, or unpredictable trajectory due to external forces.

3. Can odd projectile motion be predicted?

Yes, odd projectile motion can be predicted using mathematical equations and principles such as Newton's laws of motion and air resistance. However, it may be more challenging and require more complex calculations compared to regular projectile motion.

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

Some examples of odd projectile motion include a golf ball being hit on a windy day, a ball being thrown in a non-uniform gravitational field, or a rocket launching in a strong crosswind.

5. How can odd projectile motion be applied in science and engineering?

Understanding odd projectile motion is crucial in fields such as aerospace engineering, ballistics, and sports science. It allows scientists and engineers to accurately predict and control the trajectory of objects in complex scenarios and make improvements to designs and techniques.

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