Answer to Question #172301 in Physics for Kenan

Question #172301

The car is moving at a speed of 7 m / s. At a certain point, the driver applies the brakes, after which the car moves another 1.5 m before stopping completely. Assuming the car is moving at a speed of 14 m / s, determine the path it would take after the driver starts braking. Assume that the braking forces are equal in both cases.


1
Expert's answer
2021-03-17T16:53:47-0400

Let's first find the deceleration of the car:


v2=v02+2ad,v^2=v_0^2+2ad,a=v2v022d=0(7 ms)221.5 m=16.3 ms2.a=\dfrac{v^2-v_0^2}{2d}=\dfrac{0-(7\ \dfrac{m}{s})^2}{2\cdot1.5\ m}=-16.3\ \dfrac{m}{s^2}.

Finally, we can determine the path it would take after the driver starts braking:


d=0(14 ms)22(16.3 ms2)=6.0 m.d=\dfrac{0-(14\ \dfrac{m}{s})^2}{2\cdot(-16.3\ \dfrac{m}{s^2})}=6.0\ m.

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