Calculating Velocity and Time for an Accelerating Air Boat

AI Thread Summary
To solve the problem of Sanjay's air boat, first calculate the time taken to cover 216 meters under constant acceleration of 9.1 m/s². Using the equation D = Vi*t + 0.5*a*t², where Vi is the initial velocity (0 m/s), allows for determining the time. Once the time is known, the final velocity can be calculated with Vx = Vi + a*t. The discussion emphasizes the importance of understanding the relationship between distance, time, and acceleration in this context. Properly sequencing the calculations is crucial for arriving at the correct answers.
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Homework Statement

[/B]
Problem: Sanjay's air boat starts from rest and accelerates at 9.1 m/s2 for a distance of 216 meters. How fast is it moving at the end of the 216 meters?
And how much time will it take to cover this distance?

Known: Vi = 0m/s
A = 9.1m/s
D = 216m​

Homework Equations


Vx=Vx0+axt

The Attempt at a Solution


In all honesty I am very confused about this question; any little tips would help! I have tried a few different equations that my teacher has provided us, and each time the question has been wrong. Any ideas on how to approach this kind of question? Any help is appreciated!
 
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Hi,

the question seem to be tricky, because in the statement the chronological order of the necessary results to solve the problem is reversed. At first you have to calculate the necessary time the ship needs. With this result you can solve the first question with the equation you already provided in 2).

Any ideas about the connectedness between distance, time and a constant acceleration?
 
stockzahn said:
Hi,

the question seem to be tricky, because in the statement the chronological order of the necessary results to solve the problem is reversed. At first you have to calculate the necessary time the ship needs. With this result you can solve the first question with the equation you already provided in 2).

Any ideas about the connectedness between distance, time and a constant acceleration?
No idea, I am very confused about this question. :oldconfused:
 
Okay, with the formula you provided, you can calculate the velocity of the ship after 1 second, after 2 seconds, after 3 seconds, ...

How can you calculate the traveled distance if you know speed and time?
 
stockzahn said:
Okay, with the formula you provided, you can calculate the velocity of the ship after 1 second, after 2 seconds, after 3 seconds, ...

How can you calculate the traveled distance if you know speed and time?

We already know the distance, it's 216m.
Why would we have to calculate it? :oldconfused:
 
It is to find the equation you need to solve the problem and it is easier to do it step by step. It won't take long. So what would be the velocity of the ship with the given acceleration at

t = 1s: v = ...
t = 2s: v = ...
t = 3s: v = ...

... and if you know the velocity and the time how to calculate a traveled distance?
 
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