Calculating time taken when given an acceleration rate to consider

Printable View

January 13th 2010, 03:46 AM
JoeSaddigh

Calculating time taken when given an acceleration rate to consider

Hi,

I have a problem where I need to calculate how long it will take to get to a certain fix when given these factors:

Original speed
Acceleration rate per second
Target speed
Distance

For example if I need to get somewhere which is 100 miles away and my current speed is 50mph and target speed is 100mph and the acceleration speed is 10m per second...

Does anybody have an idea of a solution to solve this problem in a neat formula.. If not neat then solve it full stop.

Thanks in advance
January 14th 2010, 01:29 AM
BabyMilo

Quote:

Originally Posted by JoeSaddigh

Hi,

I have a problem where I need to calculate how long it will take to get to a certain fix when given these factors:

Original speed
Acceleration rate per second
Target speed
Distance

For example if I need to get somewhere which is 100 miles away and my current speed is 50mph and target speed is 100mph and the acceleration speed is 10m per second...

Does anybody have an idea of a solution to solve this problem in a neat formula.. If not neat then solve it full stop.

Thanks in advance

does that mean you pass the 100miles at 100mph or your final speed at the 100miles = 0 ?
January 14th 2010, 01:57 AM
JoeSaddigh

You pass the final at 100mph you do not need to slow down.

Thanks
January 14th 2010, 04:42 AM
BabyMilo

Quote:

Originally Posted by JoeSaddigh

Hi,

I have a problem where I need to calculate how long it will take to get to a certain fix when given these factors:

Original speed
Acceleration rate per second
Target speed
Distance

For example if I need to get somewhere which is 100 miles away and my current speed is 50mph and target speed is 100mph and the acceleration speed is 10m per second...

Does anybody have an idea of a solution to solve this problem in a neat formula.. If not neat then solve it full stop.

Thanks in advance

the car would reach 100mph before it reaches the distance of 100miles with an acceleration of 10m/s.

there are six equations you could use:

http://upload.wikimedia.org/math/9/3...705f9d3345.pngwhere v=final velocity
u=inital velocity
t=time
s=displacement
a=acceleration.