How to Calculate Object Travel Time: Formula for 402m Distance

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To calculate the time it takes for an object to travel 402 meters from rest with an acceleration of 17 m/s², the formula s = ut + 1/2 at² can be used. Here, s represents the distance, u is the initial velocity (0 in this case), a is the acceleration (17 m/s²), and t is the time. Since the initial velocity is zero, the equation simplifies, allowing for the calculation of time using a square root. It's important to clarify that 17 m/s is a velocity, not an acceleration. This discussion emphasizes the need for accurate definitions in physics problems to ensure correct calculations.
JPaulPhysics
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What formula can I use the time it takes an object to travel 402m if it starts at rest and accelerates at 17m/s?
 
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##s=ut+\frac{1}{2}at^2##, where

s = distance travelled
u = initial velocity
t = time
a = acceleration

Use the formula for the solution to a quadratic equation to write t as a function of the other, known, variables.
 
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JPaulPhysics said:
What formula can I use the time it takes an object to travel 402m if it starts at rest and accelerates at 17m/s?

JPaulPhysics said:
Thank you

Welcome to the PF.

What is the context of your question? Is it for schoolwork, or a practical question from some situation? Schoolwork questions need to be posted in the Homework Help section of the PF, and there are rules for posting schoolwork questions there. We're here to help; we just need to treat schoolwork questions in a special way that helps student learn how to learn. :smile:
 
17m/s is not an acceleration, it is a velocity.
 
Since u=0, you get t by a square root.
 
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