Uniformly accelerated motion

In summary, the problem involves a plane accelerating in a straight line along the ground before takeoff, moving 600m in 12 seconds. The task is to find the acceleration, speed at the end of 12 seconds, and distance moved during the twelfth second. The equations used are d = vot + 1/2at^2 and v = vot + at, and the solution involves finding the distance traveled during the twelfth second by using the first equation.
  • #1
mizzy
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0

Homework Statement



A plane starts from rest and accelerates in a straight line along the ground before takeoff. It moves 600m in 12s. Find a) acceleration, b) speed at the end of 12s, c) the distance moved during the twelfth second.

Homework Equations


d = vot + 1/2at^2

v = vot + at


The Attempt at a Solution



I got the answers to part a and b, but not to part c. I feel stupid, I've been staring at this part for awhile. Things are not registering...:frown:

Do i use the first equation?

someone please help!
 
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  • #2
This is the distance traveled during one second between t1=11 s and t2=12 s time. You can use the first equation to get where was the plane at the end of the 11th second and where is it at the end of the 12th second. ehild
 

1. What is uniformly accelerated motion?

Uniformly accelerated motion is a type of motion where an object moves with a constant acceleration, meaning its velocity changes by the same amount over equal time intervals. This type of motion can occur when an object experiences a constant force, such as gravity.

2. How is uniformly accelerated motion different from uniform motion?

Uniform motion is when an object moves at a constant speed and in a straight line. Uniformly accelerated motion, on the other hand, involves a change in velocity over time due to a constant acceleration. This means that the object's speed is not constant and it is not moving in a straight line.

3. What is the formula for calculating uniformly accelerated motion?

The formula for calculating uniformly 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. This formula is known as the second equation of motion.

4. Can an object have a negative acceleration in uniformly accelerated motion?

Yes, an object can have a negative acceleration in uniformly accelerated motion. This means that the object is slowing down, as its velocity is decreasing. A negative acceleration can occur when there is a force acting in the opposite direction of the object's motion.

5. How does air resistance affect uniformly accelerated motion?

Air resistance can have a significant impact on uniformly accelerated motion. In the presence of air resistance, the object experiences a drag force that opposes its motion, leading to a decrease in acceleration. This means that the object's final velocity will be lower than what is predicted by the equations of motion. In some cases, air resistance can even cause the object to reach a maximum velocity, after which it will no longer accelerate.

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