I know this is simple but I can't remember how to do this at all! Just going over antiderivatives...

Starting speed = 55mph (straight road)

Constant deceleration = 11ft/s^2

How do I work out the stopping distance?

Thanks for any help!!

- Jan 5th 2009, 06:30 AMMilly_BristolCalculating Stopping Distance from starting speed and constant deceleration
I know this is simple but I can't remember how to do this at all! Just going over antiderivatives...

Starting speed = 55mph (straight road)

Constant deceleration = 11ft/s^2

How do I work out the stopping distance?

Thanks for any help!! - Jan 5th 2009, 06:41 AMskeeter
convert $\displaystyle v_0 = 55 \, mph$ to $\displaystyle ft/sec$

$\displaystyle v(t) = v_0 - 11t$

calculate the amount of time it takes to stop ... $\displaystyle t_s$

stopping distance = $\displaystyle \int_0^{t_s} v(t) \, dt$

note that the stopping distance is very easy to calculate with a velocity graph.