Motion at Constant Acceleration Question

In summary, a car accelerated from 13 m/s to 25 m/s in 6.0 seconds with a constant acceleration of 2.0 m/s^2. To find the distance it traveled, one can use the kinematic equation x = x0 + v0t + 1/2at^2, where x0 is the initial position, v0 is the initial velocity, and t is the time. The distance traveled is the difference between the final and initial positions. Additional help on the next question can be requested in a new thread or asked in this one.
  • #1
Adrianna
13
0

Homework Statement


A car accelerates from 13 m/s to 25 m/s in 6.0s. What was its acceleration? How far did it travel in this time? Assume constant acceleration.


Homework Equations


I used the equation a=v/t


The Attempt at a Solution


I got that the acceleration is 2.0 m/s^2. Now my problem in that I am not sure how to go about finding the distance it went in the time.
 
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  • #2
Does your book give the kinematic equations?
 
  • #3
well it gives me
v=v0 +at
x=x0 + v0t+ 1/2 at^2
v^2 = v^20 + 2a(x -x0)
v= (v+v0)/2
 
  • #4
v0 is initial velocity, x0 is initial position, and x is final position. How far something travels is the difference between its final and initial positions. Using the second equation should help.
 
  • #5
Okay I got that one thanks so should I post another thread to get help on the next one or should I just ask it here?
 

FAQ: Motion at Constant Acceleration Question

What is motion at constant acceleration?

Motion at constant acceleration is when an object moves in a straight line with a consistent change in velocity over time. This means that the object's speed increases or decreases by the same amount in each unit of time.

What is the difference between constant acceleration and uniform motion?

Constant acceleration and uniform motion are often confused, but they are different concepts. Uniform motion refers to an object traveling at a constant speed in a straight line, while constant acceleration refers to an object's velocity changing at a constant rate over time.

How is acceleration calculated in motion at constant acceleration?

Acceleration in motion at constant acceleration can be calculated using the formula a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

What is the relationship between acceleration, velocity, and time in motion at constant acceleration?

In motion at constant acceleration, the relationship between acceleration, velocity, and time is described by the equation vf = vi + at. This means that the final velocity (vf) is equal to the initial velocity (vi) plus the product of acceleration (a) and time (t).

Can an object have constant acceleration if its speed is not changing?

Yes, an object can have constant acceleration even if its speed is not changing. This is because acceleration is a measure of the change in velocity, not just the speed. So, if an object is changing direction or its velocity is changing by a constant amount, it is still considered to have constant acceleration.

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