You are driving down the highway late one night at 20 m/s...

Name: You are 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 0.5 s, and the maximum deceleration of your car is 10 m/s². a. How much distance is between your car and the deer when you stop. b. What is the maximum speed you could have and still not hit the deer?
Uploaded: 2022-12-30T02:47:17-08:00
Duration: 5 min 44 s
Channel: Dominique Jan Tan
Description: You are 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 0.5 s, and the maximum deceleration of your car is 10 m/s². a. How much distance is between your car and the deer when you stop. b. What is the maximum speed you could have and still not hit the deer?

You are 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 0.5 s, and the maximum deceleration of your car is 10 m/s². a. How much distance is between your car and the deer when you stop. b. What is the maximum speed you could have and still not hit the deer?

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Transcript

00:01 With uniform acceleration, we can use the following kinematic equation in order to describe the motion of an object.

00:10 We have vf squared, which is the final speed, equals vi squared, which is the initial speed plus 2 times a, which is the acceleration, and delta d is the displacement.

00:25 Here, we're given.

00:29 You're driving your car with a speed of 20 meters per second.

00:34 So this is your bi.

00:39 And in front of you, there's a deer 35 meters ahead of you.

00:48 Now, you press on your brakes, but there's still what we call as reaction time, where upon seeing the deer, you would be able to respond immediately, but it would still take 0 .5 seconds for you to step on your brakes.

01:05 So we call this as a reaction time.

01:07 Now if the deceleration rate of your car as you press on your brakes is 10 meters per second squared.

01:17 So this is this is the acceleration rate.

01:19 We use negative for that.

01:21 We want to find the following.

01:24 So for letter a with this starting speed, we want to know how far you are from the deer when you stop.

01:34 And then so distance from the deer upon stopping.

01:44 And then for that there b, we want to know the maximum vi that you can have without hitting the deer...