Question #90892
Good morning is it possible to calculate when a dog stops accelerating with the
Dogs weight in kg
The distance traveled
And the time taken to travel
1
Expert's answer
2019-06-18T08:11:36-0400

Hello!

Yes, it is possible. The following expressions may help you. But first, we need to be sure what exactly we want to calculate about the dog.

Consider a dog with mass mm which stops, i.e. decelerates. Assume that it had initial velocity viv_i (fast) and final velocity vfv_f (slow, or the final speed is zero when the dog fully stops). Also, assume that the force of friction acting on the dog is ff. The acceleration (deceleration) will be hence


a=fm.a=\frac{f}{m}.

The distance traveled before the stop will be


d=vf2vi22a.d=\frac{v_f^2-v_i^2}{2a}.

The time required for the dog to stop is


t=vfvia.t=\frac{v_f-v_i}{a}.


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