A car traveling 56.0 km / h is 24.0 m from a barrier when the driver slams on the brakes. The

Name: Problem 33, Chapter 2: Fundamentals of Physics
Uploaded: 2019-12-04T21:48:45-08:00
Duration: 1 min 49 s
Channel: Averell Hause
Description: A car traveling 56.0 km / h is 24.0 m from a barrier when the driver slams on the brakes. The car hits the barrier 2.00 s later. (a) What is the magnitude of the car's constant acceleration before impact? (b) How fast is the car traveling at impact?

step 1 Part A, we find the acceleration to be equaling 2 times the X position minus the initial velocit

Question

A car traveling $56.0 \mathrm{~km} / \mathrm{h}$ is $24.0 \mathrm{~m}$ from a barrier when the driver slams on the brakes. The car hits the barrier $2.00 \mathrm{~s}$ later. (a) What is the magnitude of the car's constant acceleration before impact? (b) How fast is the car traveling at impact?

   A car traveling $56.0 \mathrm{~km} / \mathrm{h}$ is $24.0 \mathrm{~m}$ from a barrier when the driver slams on the brakes. The car hits the barrier $2.00 \mathrm{~s}$ later. (a) What is the magnitude of the car's constant acceleration before impact? (b) How fast is the car traveling at impact?

Fundamentals of Physics

David Halliday,… 11th Edition

Chapter 2, Problem 33

Instant Answer

Solved by Expert Averell Hause

12/04/2019

Step 1

0 km/h * (1000 m/km) * (1 h/3600 s) = 15.56 m/s Now, let's use the following kinematic equation to find the acceleration: d = v_initial * t + 0.5 * a * t^2 where d is the distance, v_initial is the initial speed, t is the time, and a is the acceleration. We are Show more…

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A car traveling $56.0 \mathrm{~km} / \mathrm{h}$ is $24.0 \mathrm{~m}$ from a barrier when the driver slams on the brakes. The car hits the barrier $2.00 \mathrm{~s}$ later. (a) What is the magnitude of the car's constant acceleration before impact? (b) How fast is the car traveling at impact?

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Key Concepts

Uniformly Accelerated Motion

This concept describes motion where an object's acceleration remains constant throughout the period of interest. In problems involving constant acceleration, the relationships between displacement, velocity, acceleration, and time can be accurately modeled with specific kinematic equations.

Kinematic Equations

These are the set of equations that relate the major variables in motion under constant acceleration, such as displacement, initial velocity, final velocity, acceleration, and time. They are essential tools for solving problems in physics where the motion parameters change at a constant rate.

Unit Conversion

Unit conversion is the process of converting measurements from one unit system to another to ensure consistency in calculations. For example, converting speeds from kilometers per hour to meters per second is a common step in solving physics problems involving motion.

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