Velocity problems regarding vectors

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The discussion focuses on a spaceship experiencing constant acceleration of (1,2,3) m/s² from rest. After 5 seconds, the calculated velocity is confirmed as (5,10,15) m/s. To find speed, participants note that it is the magnitude of the velocity vector. For position, the conversation suggests using an equation for linear position under constant acceleration, starting from zero initial speed. The thread emphasizes understanding the relationship between velocity, speed, and position in vector motion.
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Homework Statement


Spaceship initially at rest as measured,experiences constant acceleration of a=(1,2,3)m/s^2?

what is the velocity,after 5 seconds,
and speed after 5 seconds
and position after 5 secs
what is the distance it has traveled in 5secs


Homework Equations


v=at not sure what else..


The Attempt at a Solution


i think i got velocity my answer was (5,10,15)m/s not sure how i should go about the rest
 
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Your velocity is correct.

How do you find speed (a scalar) when you know velocity (a vector)? hint: speed is the magnitude of the velocity vector.

Regarding position, can you establish an equation that describes the linear position of a single coordinate when the initial speed is zero and the acceleration is constant?
 
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