Calculating Stopping Distance from starting speed and constant deceleration

**Milly_Bristol** · January 5th 2009, 06:30 AM

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!!

**skeeter** · January 5th 2009, 06:41 AM

convert $v_0 = 55 \, mph$ to $ft/sec$

$v(t) = v_0 - 11t$

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

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

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

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