MCQ Question related to trajectory of two projectiles

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Homework Help Overview

The discussion revolves around a multiple-choice question concerning the trajectory of two projectiles, focusing on their time periods and speeds of projection. The participants are analyzing the relationships between these variables in the context of 2D motion and kinematics.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to determine the correctness of options regarding the time periods and speeds of two projectiles. There is a focus on using the equation "2uSin(theta)/g" to support their reasoning, but uncertainty remains about the validity of their conclusions. Questions are raised about the implications of the relationship between the heights of the projectiles.

Discussion Status

The discussion is ongoing, with participants expressing uncertainty about their reasoning and the relationships between the variables. Some guidance has been offered regarding focusing on the vertical component of projectile velocity and considering energy conservation, but no consensus has been reached.

Contextual Notes

Participants are grappling with the implications of their calculations and the assumptions underlying their choices of values for the speeds of projection. There is an acknowledgment of potential multiple correct answers, adding complexity to the discussion.

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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