I am coasting along a highway at 30.0 m/s when I suddenly see a deer frozen in its tracks in front of me, 200 meters away. At what rate must I slow down to ensure I do not hit the deer. Assume I have a reaction time of 0.30 seconds.

Question

Ace

Physics

30 July, 01:51

I am coasting along a highway at 30.0 m/s when I suddenly see a deer frozen in its tracks in front of me, 200 meters away. At what rate must I slow down to ensure I do not hit the deer. Assume I have a reaction time of 0.30 seconds.

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Answers (1)

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Judah Richardson · Answer 1

Answer:a=-4044.4m/s²

Explanation:

S=300m

Vs=300m/s

t=0.3s

Use equation that connects distance and acceleration

S=Vs*t-a*t²/2

200=30*0.3-a*0.09/2

200=9-a*0.045

182=-a*0.045

a=-4044.4m/s²