How Far Does a Slowing Train Travel?

In summary, the problem is asking for the distance traveled by a train that is initially moving at 30 m/s and slows down to 10 m/s in 30 seconds. The equation Vf2 = Vi2 + 2*a*x can be used to solve for the distance traveled, with the acceleration calculated by using the relationship ΔV = a*t. The final speed is 10 m/s, initial speed is 30 m/s, and the acceleration is negative because it is slowing the train down to 20 m/s.
  • #1
lvck
2
0

Homework Statement



1. A train moving at a speed of 30 m/s slows down to 10m/s in 30s. How far had the train gone before it's speed was reduced from 30m/s to 20 m/s?

Homework Equations



D= Vi times T + at(squared) divide it by 2

The Attempt at a Solution


None yet. Please help me with the solution
 
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  • #3
Honestly I am having a hard time figuring out what the initial velocity is.. and the acceleration
 
  • #4
You can figure the "a" simply by using the relationship that ΔV = a*t That Δ v is (10 - 30) = -20 = a*t

Using the V2 = ... formula then your final speed is 10 m/s and you Initial is 30 and your acceleration is negative because it's slowing you down to 20, then you can figure x.
 

FAQ: How Far Does a Slowing Train Travel?

1. What is uniform accelerated motion?

Uniform accelerated motion refers to the motion of an object with a constant acceleration. This means that the object's velocity is changing at a constant rate.

2. What is the difference between uniform and non-uniform accelerated motion?

In uniform accelerated motion, the acceleration remains constant throughout the motion, while in non-uniform accelerated motion, the acceleration changes at different points during the motion.

3. How is uniform accelerated motion calculated?

The equation for uniform accelerated motion is v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time elapsed.

4. What is the acceleration due to gravity?

The acceleration due to gravity is a constant value of 9.8 m/s^2. This means that in the absence of air resistance, all objects near the Earth's surface will experience an acceleration of 9.8 m/s^2 towards the ground.

5. How is uniform accelerated motion related to Newton's laws of motion?

Uniform accelerated motion is related to Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This means that the greater the force applied to an object, the greater its acceleration will be.

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