What Do y vs. t and v vs. t Graphs Show for an Object Thrown Upward?

In summary, for an object projected vertically upward with an initial velocity of 34.3 m/s, the y vs. t plot would look like a parabola and the v vs. t plot would look like a diagonal line starting at 34.3 m/s and ending at -34.3 m/s. This is because the object's position and velocity change in a predictable way due to gravity.
  • #1
Mitchtwitchita
190
0
Can anyone please explain to me what a y vs. t and a v vs. t plot would look like for an object projected vertically upward with an initial velocity of 34.3 m/s?

Would the y vs. t plot look like a parabola?
Would the v vs. t plot look like a diagonal line starting at 34.3 m/s and ending at -34.3 m/s?
 
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  • #2


Yes and Yes on both questions.
 
  • #3


Thanks PhanthomJay
 
  • #4


Mitchtwitchita said:
Would the y vs. t plot look like a parabola?
Would the v vs. t plot look like a diagonal line starting at 34.3 m/s and ending at -34.3 m/s?

Do you understand why?
 

FAQ: What Do y vs. t and v vs. t Graphs Show for an Object Thrown Upward?

What is a parabola in kinematics?

A parabola in kinematics is a curved path that an object follows when it is thrown or launched at an angle to the ground. It is a common shape that arises in many physical situations, including projectile motion.

How do you calculate the maximum height of a parabolic path?

To calculate the maximum height of a parabolic path, you can use the equation h = (v0sinθ)^2 / (2g), where h is the maximum height, v0 is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.

What is the relationship between velocity and acceleration in parabolic motion?

In parabolic motion, the velocity and acceleration are perpendicular to each other. The velocity is constant in the horizontal direction, while the acceleration is constant in the vertical direction. This results in a curved path, as the acceleration changes the direction of the velocity vector.

Can a parabolic path be used to describe the motion of a falling object?

Yes, a parabolic path can be used to describe the motion of a falling object. When an object is dropped or thrown vertically, it follows a parabolic path due to the constant acceleration of gravity.

How does air resistance affect the shape of a parabolic path?

Air resistance can affect the shape of a parabolic path by slowing down the object and causing it to deviate from the ideal parabolic path. This can be seen in projectiles with a large surface area, such as a feather, where air resistance has a significant impact on the trajectory.

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