Finding uniformly increasing acceleration.

In summary, to find the acceleration of a rocket that travels uniformly from rest and travels 650m in the first 12 seconds, you can use the equation s=v_it+(1/2)at^2 and plug in the known values of s, vi, and t. This results in an acceleration of 9 m/s squared, which is significantly different from the incorrect value of 7800 m/s squared calculated using the second equation.
  • #1
AcousticBruce
37
0

Homework Statement



What is the acceleration of a rocket that travels uniformly from rest and travels 650m in the first 12 seconds.

Homework Equations



[tex]s=v_it+\frac{1}{2}at^2[/tex]

[tex]a=\frac{\Delta v}{\Delta t}[/tex]

The Attempt at a Solution



I pluged the acceleration equation into the first equation.

[tex]s=0(12)+\frac{1}{2}\frac{650}{12}12^2[/tex]

that equaled 7800 m/s squared. That is so far off. The answer is 9 m/s squared.
 
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  • #2
You don't need the second equation, and it's not useful because you don't know what the change in v was.

The first equation is perfectly adequate. You know s, you know vi and you know t. Solve for a.
 

Related to Finding uniformly increasing acceleration.

1. What is uniformly increasing acceleration?

Uniformly increasing acceleration is a type of motion where an object's velocity increases by the same amount in each unit of time. This means that the object's acceleration is constant and the velocity changes at a steady rate.

2. How is uniformly increasing acceleration calculated?

To calculate uniformly increasing acceleration, you can use 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.

3. What is the difference between uniformly increasing acceleration and uniformly decreasing acceleration?

The main difference between these two types of acceleration is the direction of the change in velocity. In uniformly increasing acceleration, the velocity is increasing at a constant rate, while in uniformly decreasing acceleration, the velocity is decreasing at a constant rate.

4. How does uniformly increasing acceleration affect an object's motion?

Uniformly increasing acceleration causes an object to move with a continuously increasing velocity. This means that the object will cover larger distances in shorter amounts of time, resulting in faster motion.

5. What are some real-life examples of uniformly increasing acceleration?

Some examples of uniformly increasing acceleration in everyday life include a car accelerating from a stop, a rollercoaster gaining speed as it goes down a hill, and a baseball accelerating as it falls towards the ground due to gravity.

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