Middle School

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An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was 175 feet. What was the speed of the vehicle before the brakes were applied?

Answer :

The speed of the vehicle before the brake were applied was about 80 feet/s

Further explanation

Acceleration is rate of change of velocity.

[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]

[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem!

This problem is about Deceleration

Given:

final speed = v = 0 m/s

length of skid marks = d = 175 feet

maximum deceleration = a = 20 feet/s² ( assumption )

Unknown:

initial speed = u = ?

Solution:

We will solve this problem by using following formula:

[tex]v^2 = u^2 - 2ad[/tex]

[tex]0^2 = u^2 - 2(20)(175)[/tex]

[tex]u^2 = 7000[/tex]

[tex]u = \sqrt{7000}[/tex]

[tex]u = 10\sqrt{70} \texttt{ feet/s}[/tex]

[tex]u \approx 80 \texttt{ feet/s} [/tex]

Learn more

  • Velocity of Runner : https://brainly.com/question/3813437
  • Kinetic Energy : https://brainly.com/question/692781
  • Acceleration : https://brainly.com/question/2283922
  • The Speed of Car : https://brainly.com/question/568302

Answer details

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Braking , Deceleration , Skid Marks

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Rewritten by : Jeany

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