Help with straight line motion

In summary, we are given information about a bus traveling in a straight line between two stops. The trip is 4.0km and takes 6.0 minutes. The bus accelerates uniformly from rest during the first 0.50km, maintains a constant speed, and then slows down uniformly during the last 0.25km until it eventually stops. We are asked to determine the value of the constant speed maintained during one section of the trip. To solve this problem, we can use the equations V=v0+at, x-x0 = v0t + 1/2 at2, and v2 = v02 + 2a (x - x0 ). Another approach is to use the graphing relationships
  • #1
Kris.oh
1
0
help with straight line motion!

Homework Statement


A bus travels in a straight line between 2 stops.The trip of 4.0km takes 6.0 minutes . The buis accelerates unniformly from rest during the first 0.50km, and thereafter it maintains a constant speed after which it slows down uniformly during the last 0.25km and eventually stops. Determine the value of the constant speed that the us maintained during one section of the trip.


Homework Equations


V=v0+at
x-x0 = v0t + 1/2 at2
v2 = v02 + 2a (x - x0 )

The Attempt at a Solution

 
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  • #2


What have you done so far to work towards a solution?
 
  • #3


Welcome to PF, Kris!
You have to show some attempt at the problem before we can help you.
I can't resist mentioning that there are two rather different approaches to motion problems that both work every time. One is to use the formulas and the other is to use the graphing relationships (area under velocity graph = distance; slope on velocity graph = acceleration). Which approach will you take? There are three different motions going on here, so the velocity graph might help you keep them organized. Or you could make 3 headings and right down the appropriate formula(s) for each.

If you use the graph, you'll need to sketch it on the computer and show it here. The best way is to save it as a .jpg image and upload it to a free photo site like photobucket.com. Then you can paste a link to it here. If you put IMG before the link and /IMG after it (both in square brackets), the diagram will show up right in the post.
 

1. What is straight line motion?

Straight line motion is the movement of an object along a straight path, without any change in direction. This type of motion is also known as linear motion and can be described by its speed and direction.

2. How is straight line motion different from other types of motion?

Straight line motion is different from other types of motion, such as circular or projectile motion, because it only involves movement along a single straight path. Other types of motion involve changes in direction or acceleration, while straight line motion remains constant in speed and direction.

3. What are the factors that affect straight line motion?

The factors that affect straight line motion include the initial speed of the object, the force acting upon it, and any external forces like friction or air resistance. The mass of the object also plays a role in its straight line motion, as a heavier object will require more force to move at the same speed as a lighter object.

4. How is straight line motion measured and calculated?

Straight line motion is measured using units such as meters, kilometers, or miles for distance, and seconds or hours for time. To calculate the speed of an object in straight line motion, divide the distance traveled by the time it took to travel that distance. The direction of the motion can also be calculated using trigonometry and vector analysis.

5. What are some real-life examples of straight line motion?

Straight line motion can be observed in many everyday situations, such as a car driving on a straight road, a ball rolling down a ramp, or a person walking in a straight line. Other examples include a rocket launching into space, a plane flying in a straight path, and a swinging pendulum.

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