Euqation of kinematics in two dimensions

In summary: Keep going!In summary, the conversation discusses fans' claims about Michael Jordan's ability to jump and stay in the air for two seconds. To evaluate this claim, the maximum height of such a jump is calculated using the formula Vy = Voy + Ay*t. The final velocity of 0 is used for the upward motion, giving a value of 19.6 for the initial velocity. However, to find the height, it might be easier to use a distance formula, which would require finding the initial velocity first. Using the final velocity of 0 for the downward motion, the initial velocity is calculated to be 9.8.
  • #1
pookisantoki
44
0
Fans claim that Michael Jordan is able to jump and remain in the air for two full seconds from launch to landing. Evaluate this claim by calculating the maxium height that such a jump would attain. For comaprsion, Jordan's maximum jump height has been estimate at about one meter.
Y=1meter
t=2second
Ay=-9.80
Vy=0
Voy??

I used Vy=Voy + Ay*t
0=Voy+-9.8 *2
Voy=19.6

But it's wrong...not sure what to do from here...
 
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  • #2
I used Vy=Voy + Ay*t
0=Voy+-9.8 *2
Voy=19.6

This is very close, but you have to be careful to be clear on what part of the motion you are working with. The 2 seconds is for the full flight - up and down. A final velocity of 0 is for half the flight - just the up part. Choose one or the other for all quantities and you'll get your answer!

Since you are interested in finding the height, you might prefer to use a distance formula. You'll need to find the initial velocity first if you tackle the "up" part with the distance formula, but if you do the down part you of course know the initial velocity.
 
  • #3
So that would just make Voy 9.8...?
 
  • #4
Yes.
 

Related to Euqation of kinematics in two dimensions

1. What is the equation of kinematics in two dimensions?

The equation of kinematics in two dimensions is a mathematical formula that describes the motion of an object in two dimensions, such as in a plane. It takes into account the object's velocity, acceleration, and displacement in both the x and y directions.

2. How is the equation of kinematics in two dimensions different from the equation in one dimension?

The equation of kinematics in two dimensions is different from the equation in one dimension because it takes into account both the horizontal and vertical components of an object's motion. In one dimension, only the displacement, velocity, and acceleration in one direction are considered.

3. What are the variables in the equation of kinematics in two dimensions?

The variables in the equation of kinematics in two dimensions are displacement (Δx and Δy), initial velocity (v0x and v0y), final velocity (vx and vy), acceleration (ax and ay), and time (t).

4. How is the equation of kinematics in two dimensions used in real-life situations?

The equation of kinematics in two dimensions is used in real-life situations to calculate the motion of objects in two dimensions, such as projectiles, cars, and airplanes. It can also be used to analyze the motion of objects in sports, such as a basketball player jumping for a layup.

5. Can the equation of kinematics in two dimensions be applied to non-uniform motion?

Yes, the equation of kinematics in two dimensions can be applied to non-uniform motion, as long as the acceleration is constant. In this case, the average acceleration can be used in the equation to calculate the object's motion. However, if the acceleration is not constant, a different set of equations, such as the equations of motion with constant jerk, would need to be used.

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