MCQ Question related to trajectory of two projectiles

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SUMMARY

The discussion centers on the trajectory analysis of two projectiles, denoted as T1 and T2, with their respective speeds U1 and U2. Participants debate the validity of options A (T2 > T1) and D (U1 < U2) as correct answers based on the kinematic equation "2uSin(theta)/g". The use of this equation suggests that the vertical component of the projectile's velocity plays a crucial role in determining the time of flight and speed comparisons. The conversation highlights the importance of understanding 2D motion and energy conservation principles in projectile motion analysis.

PREREQUISITES
  • Understanding of 2D motion and kinematics
  • Familiarity with projectile motion equations
  • Knowledge of energy conservation principles
  • Ability to analyze projectile trajectories
NEXT STEPS
  • Study the derivation and application of the kinematic equation "2uSin(theta)/g"
  • Learn about the law of conservation of energy in projectile motion
  • Explore the effects of angle of projection on projectile trajectories
  • Investigate the relationship between time of flight and initial velocity in projectile motion
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Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators seeking to clarify concepts related to projectile trajectories.

dahano
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Homework Statement

:
The trajectort of two projectiles are shown in the figure. Let T1 & T2 be the rime periods and U1 and U2 be their speeds of projection. Then(state the answer with REASON):

A) T2 > T1
B) T1 = T2
C) U1 > U2
D) U1 < U2

image.png
[/B]

(MAYBE, MORE THAN ONE CORRECT)

Homework Equations

: 2D Motion/kinematics.[/B]

The Attempt at a Solution

: I feel that the option A & D should be correct but I'm not quite sure and neither I've a proper reason for it. btw, I've used "2uSin(theta)/g" to figure out that A & D are the answer but I'm not sure.[/B]
 
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dahano said:
I feel that the option A & D should be correct but I'm not quite sure and neither I've a proper reason for it. btw, I've used "2uSin(theta)/g" to figure out that A & D are the answer but I'm not sure.

What makes you feel this ?
 
Qwertywerty said:
What makes you feel this ?
I used "2uSin(theta)/g" but the values that I put for "u" were like u2 > u1. And this is why I'm not sure of my answer and I doubt that it may be wrong.
 
dahano said:
I used "2uSin(theta)/g" but the values that I put for "u" were like u2 > u1. And this is why I'm not sure of my answer and I doubt that it may be wrong.

What relation do you get from H1 = H2 ?
 
what does that expression tell us? uSin(theta) is simply the vertical component of the projectile velocity, so you might want to just focus on this fact and consider using the law of energy conservation to tackle the problem.
 

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