What formula should I use to find velocity in a newtonian physics problem?

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To find the velocity of an airplane that travels 280 m down the runway in 8 seconds with constant acceleration from rest, one can use the formula for average velocity, but this only provides the average speed, not the final velocity. It's essential to first determine the acceleration, as it plays a crucial role in calculating the final speed. Using distance divided by time gives an incomplete picture, as it does not account for the change in speed due to acceleration. A more comprehensive approach involves using kinematic equations that relate distance, time, acceleration, and final velocity. Understanding these relationships is key to solving the problem accurately.
amochang
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I'm a newbie to this subject, so forgive me if what I'm asking supposed to be common sense. :confused:

An airplane travels 280 m down the runway before taking off. If it starts from rest, moves with a constant acceleration, and becomes airborne in 8.00 s, what is its speed in m/s, when it takes off?

So, I think what is given is d=280m then t=8.00s and it is implied that it's initial velocity is 0. And what is asked is the speed or velocity...

Here's the thing. My friend keeps telling me that I should find first acceleration before speed, but I keep saying that I can simply just use d/s. Then, that conversation left me confused.

So, what formula should I really use?
 
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You should think about how distance traveled by a plane and it's speed change with time when acceleration is constant. Then you'll be able to get answer from simultaneous equations.
 
d/s will give you the average velocity over the displacement s. It won't tell you the final velocity. However, for constant acceleration there is a relationship between the average velocity and the final velocity after a given distance. Your textbook or class notes should have it.
 
amochang said:
I'm a newbie to this subject, so forgive me if what I'm asking supposed to be common sense. :confused:

An airplane travels 280 m down the runway before taking off. If it starts from rest, moves with a constant acceleration, and becomes airborne in 8.00 s, what is its speed in m/s, when it takes off?

So, I think what is given is d=280m then t=8.00s and it is implied that it's initial velocity is 0. And what is asked is the speed or velocity...

Here's the thing. My friend keeps telling me that I should find first acceleration before speed, but I keep saying that I can simply just use d/s. Then, that conversation left me confused.

So, what formula should I really use?

it is possible to solve this problem by first finding the acceleration - as your friend says. Finding the acceleration is like a half-way point.

It is also possible to use d/s - but that also is a halfway point in the calculation, not the final answer.

You could even draw a velocity-time graph, and get the answer from that.
 

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