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Question # 3 Rachel is traveling at 56 MPH when she sees a broken down truck...

Question # 3

Rachel is traveling at 56 MPH when she sees a broken down truck blocking the road 192 feet in front of her.

(Take into account both Reaction time (1 second), and Braking distance)

Can she stop in time?

YES

NO


How far will it take to stop Traveling at 56 MPH ?............ Feet

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Homework Answers

Answer #1

First, let's convert the speed from mph to feet per second

1 mph = 1.46667 feet per second

56 mph = 82.133 feet per second

Okay, here we will break the total distance in two

reaction distance and braking distance

Reaction distance = speed * time

Reaction distance = 82.133 feet per second * 1 second

Reaction distance = 82.133 feet

Now, after this rachel steps on the brake pedal

Here, total time to reach the spot of broken down truck

time = distance / speed = 192 / 82.133 = 2.3376 sec ( this is the total time - reaction + braking)

we know that reaction time is 1 second, so braking time is 2.3376 - 1 = 1.3376 sec

so, braking distance = 82.133 / 1.3376 = 61.4 feet

total distance = 61.4 +   82.133

total distance = 143.5 feet

so, yes, she will be able to stop in time

It will take a total distance of 143.5 feet to stop

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