Friday, March 16, 2012

Surfing For Reaction Distance Formula?

Helen asks…I need help with a proof!!?A car has an initial velocity v0 when the driver sees an obstacle in the road in front of him. His reaction time is Δtr, and the braking acceleration of the car is a. Show that the total stopping distance is given by the formula below. Remember that a is a negative number.


Sstop = v_0*delta(tr) - (v_0)squared/ 2aNancy answers:The assumption in this question is that the velocity remains constant in the time interval , and then the deceleration begins.

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