- #1

burton95

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## Homework Statement

driving down K10 highway (70 mph speed limit, this info is not given) one night a deer jumps out in front of you at a distance of 100 m. You don't notice for 1.5 s. As you are skidding towards the deer your acceleration is -5 m/s. What is the max initial speed you could have had to avoid hitting the deer?

## Homework Equations

Constant motion equations## The Attempt at a Solution

70 mph = 31.2861 m/s

1.5 * 31.2861 = 46.9292 meters traveled b/w deer jumping in front of car and when I hit the brakes.

100-46.9292 = 53.0708 Meters to slow to a velocity of 0

**a**= -5 m/s

^{2}.

V

_{0}= 31.2861 m/s

Δx = 0 - 53.0708 = -53.0708 m

v

_{f}= 0

So what max speed will allow my v

_{f}→0 over -53.0708 meters at an acceleration of -5 m/s. I have only calculated numbers greater than my v

_{0}