Constant Acceleration - Kinematics Problem Help

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Homework Help Overview

The problem involves a train moving with constant acceleration, passing two points at different velocities (50 km/h and 80 km/h). The objective is to determine the train's velocity when it is halfway between these two points, requiring the use of simultaneous equations.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of kinematic equations to relate initial and final velocities with acceleration and displacement. One participant attempts to set up simultaneous equations to solve for the halfway velocity.

Discussion Status

The discussion includes attempts to derive the halfway velocity using kinematic formulas. One participant reports a calculated value for the halfway velocity, but there is no explicit confirmation of correctness or consensus on the approach taken.

Contextual Notes

The problem specifies that the solution must utilize two simultaneous equations, which may influence the methods discussed.

dd12
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Homework Statement



A train at constant acceleration is traveling in a straight line. It passes two points at a velocity of 50km/h and 80km/h respectively. What is the exact velocity of the train when it is halfway between these two points?

Let v be the exact velocity of the train when it is halfway between these two points

(Must be solved using two simultaneous equations)

Thanks! :)

Homework Equations





The Attempt at a Solution

 
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So what have you tried?
 
Using formula V^2=(V(0))^2+2*a*s
where a is acceleration, s is displacement, v is velocity, V(0) is initial velocity:

80^2=50^2+2as (1)
M^2=50^2+(1/2)*2*as (2)

where M is the velocity at halfway

Solved them simultaneously and got M=5*sqrroot(178)
 
You got the right answer...
 

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