Motion Equation Homework: Solving with Simple Equations

In summary, the three people are travelling at the following rates: t1 = 1.75 / 3.5 t2 = (2 * 1.75 - .25) / 3.5 t3 = (3 * 1.75 - 2 * .25) / 3.5
  • #1
RyanH42
398
16

Homework Statement


The picture of the question is given

Homework Equations


simple motion equations

The Attempt at a Solution


[/B] I am so confused so I can't solve the question
 

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  • #2
Let t1 = 1.75 / 3.5 the time for the first person to reach the door
t2 = (2 * 1.75 - .25) / 3.5 time for second to reach first person
t3 = (3 * 1.75 - 2 * .25) / 3.5 time for third person to reach second person
Can you arrange this into a geometric series?
 
  • #3
well I didnt see why there's a relationship between water level and the distance to person each other or simply L.
 
  • #4
##t_n=n.1.75-(n-1).0.25)3.5##
 
  • #5
I found the b) its 9
 
  • #6
but stilll I didnt understand where that equation come from and a option
 
  • #7
J Hann said:
Let t1 = 1.75 / 3.5 the time for the first person to reach the door
t2 = (2 * 1.75 - .25) / 3.5 time for second to reach first person
t3 = (3 * 1.75 - 2 * .25) / 3.5 time for third person to reach second person
Can you arrange this into a geometric series?
The 1.75 is the gap between people, so you don't need to subtract .25 from it.
And I don't think you mean a geometric series.
RyanH42 said:
but stilll I didnt understand where that equation come from and a option
Water level?
"Depth" here means in a horizontal direction. If there are three people pressed one against the other at the door then the depth is three people, or 3x.25m=0.75m.
 
  • #8
No, I don't think you need a series (arithmetic not geometric).
If everyone starts moving at the same time then you should only need to calculate the
time required for the n'th person to reach layer of people at the locked door.
Incidentally, I subtracted the .25 to account for the increase in depth of people at the door.
Since the third person would travel (3 * 1.75 - 2 * .25) because there was a .50 layer of people
already at the door.
 
  • #9
J Hann said:
N
Since the third person would travel (3 * 1.75 - 2 * .25) because there was a .50 layer of people
already at the door.
How far from the door is the third person at time 0?
 

What is the definition of motion equation?

Motion equation is a mathematical representation of the relationship between an object's position, velocity, and acceleration over a period of time. It is used to calculate and predict the motion of objects in various scenarios.

What are the different types of motion equations?

There are three types of motion equations: constant velocity, constant acceleration, and projectile motion. Each type represents a different scenario of motion and has its own specific equation.

How do I solve a motion equation with simple equations?

To solve a motion equation, you need to identify the given variables (position, velocity, acceleration, and time) and plug them into the appropriate equation. Then, you can solve for the unknown variable by rearranging the equation using basic algebraic principles.

Can I use motion equations for non-uniform motion?

No, motion equations are only applicable for uniform motion, where the object's velocity and acceleration remain constant. For non-uniform motion, more complex equations and techniques, such as calculus, are needed to accurately describe the object's motion.

What are some common mistakes to avoid when solving motion equations?

Some common mistakes to avoid when solving motion equations include using the wrong equation for the given scenario, forgetting to convert units, and not considering the direction of the motion. It is important to carefully read and understand the problem before solving and double-check the units and direction in your final answer.

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