Another Two Dimensional motion question

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SUMMARY

The discussion focuses on solving two-dimensional motion problems involving projectile motion. The first problem involves a baseball thrown at an initial speed of 17.0 m/s at a 35.0° angle, where participants clarify how to calculate the horizontal component of velocity using trigonometric functions. The second problem addresses a swimmer's horizontal jump from a diving board, requiring the calculation of time and vertical displacement using kinematic equations. Key formulas discussed include Vx = V * cos(θ) for horizontal velocity and the use of x = x0 + v0t + 0.5at² for vertical displacement.

PREREQUISITES
  • Understanding of basic trigonometric functions (sine and cosine)
  • Familiarity with kinematic equations for projectile motion
  • Knowledge of vector components in physics
  • Ability to perform calculations involving acceleration due to gravity (9.8 m/s²)
NEXT STEPS
  • Learn how to derive projectile motion equations from first principles
  • Study the effects of air resistance on projectile motion
  • Explore advanced kinematic equations for non-linear motion
  • Investigate real-world applications of projectile motion in sports and engineering
USEFUL FOR

Students studying physics, educators teaching projectile motion concepts, and anyone interested in understanding the mechanics of two-dimensional motion.

  • #31
v = d/t, you've got it the wrong way around.

And no, x = 0. But initial velocity is zero.
 
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  • #32
joshMp how would you use trig if you only have one number and no degree?
 
  • #33
You have the x component, which was given to you. Find the y component using a kinematic equation. You now have the x component and the y component of the final velocity vector. Vf^2= Vx^2 + Vy^2
 
  • #34
JoshMP said:
"so would the final velocity be 3.60 m/s"

That was the question I was answering earlier when I said to use trig. You need to know the y-component to calculate the final velocity. I was not talking about finding t.

JoshMP said:
^ You need the final velocity to use that equation. Find the time to reach horizontal displacement, then use that time to find the vertical displacement.

My apologies, I thought the initial post (the one I've quoted second) was in response to v=d/t.
 
  • #35
i'm confused, so in Vf^2 = Vx^2 + Vy^2
and you said that final is 3.60 m/s than what is Vx?
 
  • #36
No. Vx= 3.6 m/s. You need to find Vy before you can find Vfinal.
 
  • #37
oh, than to find Vy = Voy - at?
 
  • #38
Yep.
 
  • #39
than what is the time and Voy
i know that a = -9.8
 
  • #40
hurtingBrain said:
than what is the time and Voy
i know that a = -9.8


Vo is the initial velocity, you have the initial speed [17.0 m/s] and the angle [35.0° above the horizontal] and a hint:


physicsface said:
the sine helps you solve for the vertical component.
 

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