Find dx: Projecting Object at 100 m/s from 20-70°

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Homework Help Overview

The discussion revolves around calculating the horizontal distance (dx) for an object projected at an initial velocity of 100 m/s from angles ranging from 20 degrees to 70 degrees in 5-degree increments. The subject area includes projectile motion and kinematics.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss breaking down the initial velocity into x and y components and applying kinematic equations to find time of flight and horizontal distance. Questions arise regarding the need to repeat calculations for each angle and the method of substituting variables in equations.

Discussion Status

Several participants have provided insights into the calculations needed for the problem, including the breakdown of velocity components and the use of kinematic equations. There is an ongoing exploration of how to systematically approach the problem for multiple angles, with no explicit consensus reached yet.

Contextual Notes

Participants are assuming ideal conditions, such as neglecting air resistance, and are discussing the implications of using specific angles in their calculations. There is mention of using a variable to represent angles in a general formula.

JWest
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Find the dx for an object projected at 100 m/s from 20 degrees to 70 degrees in 5 degree intervals. How would you exactly do this? Would you use the equation Ay = A sin X?
 
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break up your Vi=100m/s at 20 degrees into the x&y components

Vix=Vi*cos(20 degrees)
Viy=Vi*sin(20 degrees)

assuming you are on Earth and ingoring air friction
use
Vf=Vi+(-9.8m/s^2)*t
to get
t=(Vf-Vi)/(-9.8m/s^2)

lettin Vf=0 to find time to max height
double it to get the total air time

use total time in
dx=Vix*t
 
Do I have to do Viy=Vi*sin(X) repeatedly until the equation is Viy=Vi*sin(70)? Do you have a screen name so we can talk one-on-one?





Skotster said:
break up your Vi=100m/s at 20 degrees into the x&y components

Vix=Vi*cos(20 degrees)
Viy=Vi*sin(20 degrees)

assuming you are on Earth and ingoring air friction
use
Vf=Vi+(-9.8m/s^2)*t
to get
t=(Vf-Vi)/(-9.8m/s^2)

lettin Vf=0 to find time to max height
double it to get the total air time

use total time in
dx=Vix*t
 
you could use theta in terms of n like this

theta=20+5n
where n is a whole number between 0 and 10

use your basic algebra to substitute in variables, ie: the for t in dx=Vix*t put dx=Vix*-2Viy/(-9.8m/s^2)

do the same for Vix and Viy, and then again for theta.

SN: PBGartist (aim)
58362144 (icq)
pbgartist@hotmail.com (msn)
Real_Skotster (yim)
 

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