Distance in time at acceleration

[dirty_d]

what is the formula to find the time it takes for an object to travel a distance at a certain acceleration from a certain initial velocity? I think I've figured out it without taking into account the initial v which would be t = squareroot( (d * 2) / a), i think... but I'm not sure how to fit the initial velocity in there.

 

[Cyrus]

Can you show some work?

 

[radou]

what is the formula to find the time it takes for an object to travel a distance at a certain acceleration from a certain initial velocity? I think I've figured out it without taking into account the initial v which would be t = squareroot( (d * 2) / a), i think... but I'm not sure how to fit the initial velocity in there.

Start off with the equation d = d_{0}+v_{0}t+\frac{1}{2}at^2. The equation you got would be valid for d0 = v0 = 0.

 

[dirty_d]

radou i have no idea how to rearrange that formula, cyrusabdollahi, an example would be if a rocket is in space with the engine off traveling at 1000 m/s towards the sun and then turns the engine on and starts accelerating at 100 m/s/s in the same direction how long would it take to travel 1000 km towards the sun from when it starts accelerating.

 

[Cyrus]

What is your level of math?

 

[dirty_d]

level = low

 

[dirty_d]

anybody...

 

[dirty_d]

this works i don't know if it can be simplified any,

t = d / ((sqrt(pow(v0, 2) + 2 * a * d) + v0) / 2)