- #1

skysunsand

- 39

- 0

## Homework Statement

You're driving down the highway late one night at 20 m/s when a deer steps onto the road 35 m in front of you. Your reaction time before stepping on the brakes is 0.50 s, and the maximum deceleration of your car is 10 m/s^2.

How much distance is between you and the deer when you come to a stop?

and

What is the maximum speed you could have and not hit the deer?

## Homework Equations

I know we have to use both of these equations-

x= x0 + v0t+ 1/2at^2

and

v=v0+at

## The Attempt at a Solution

Reaction time eats up .5 of your seconds, so in the other half of a second, you are now 25 m from the deer.

So for you, x=20t+1/2at^2

And then your velocity-

v= 20+at

Then for the deer, since he's doing nothing, he would be

x=25? Because he's not doing anything else but standing 25 feet away?

And then his velocity wouldn't exist?

So then what would you do to solve this?