Constant Acceleration - Kinematics Problem Help

In summary, the conversation discusses finding the exact velocity of a train at the halfway point between two points where it passes at 50km/h and 80km/h, using two simultaneous equations. The formula V^2=(V(0))^2+2*a*s is used to solve for the velocity, and the result is M=5*sqrroot(178), or 70 km/h.
  • #1
dd12
2
0

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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  • #2
So what have you tried?
 
  • #3
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)
 
  • #4
You got the right answer...
 

FAQ: Constant Acceleration - Kinematics Problem Help

What is constant acceleration?

Constant acceleration refers to a situation where an object's velocity changes at a steady rate over time. This means that the object's acceleration remains the same throughout the motion.

How is constant acceleration different from uniform acceleration?

Constant acceleration is a specific type of uniform acceleration where the rate of change in velocity remains constant. In other words, the object's acceleration does not change over time, resulting in a linear velocity-time graph.

How do you calculate acceleration given an object's initial and final velocity?

Acceleration can be calculated using the formula a = (vf - vi) / t, where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time interval. This formula assumes that the acceleration is constant.

Can an object have a constant acceleration and changing velocity?

Yes, an object can have a constant acceleration and changing velocity if the direction of the acceleration is changing. This would result in a curved velocity-time graph instead of a straight line.

How can I use kinematics equations to solve constant acceleration problems?

Kinematics equations, such as the equations for displacement, velocity, and acceleration, can be used to solve constant acceleration problems by plugging in the given values and solving for the unknown variable. It is important to use the correct equation based on the given information and pay attention to units.

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