**Problem Statement:**A car stops 4 seconds after the application of the brakes while covering a rectilinear stretch 337 feet long. If the motion occurred with a constant acceleration \( a_c \), determine the initial speed \( v_o \) of the car and the acceleration \( a_c \). Express \( v_o \) in mile-per-hour (mph) and \( a_c \) in terms of \( g \), the acceleration of gravity.**Diagram Explanation:**The image includes an illustration of a car moving on a straight path, labeled with a distance \( s \). An arrow indicates the direction of motion, suggesting that the car is braking to a stop over the specified distance of 337 feet. To solve the problem, we can use the kinematic equation:\[ s = v_o t + \frac{1}{2} a_c t^2 \]Where:- \( s = 337 \) feet- \( t = 4 \) secondsFirst, solve for \( v_o \) and \( a_c \) using the given conditions.Next, to convert \( v_o \) from feet per second to miles per hour, use the conversion factor:\[ 1 \text{ ft/s} = 0.6818 \text{ mph} \]Finally, express \( a_c \) in terms of \( g \) (where \( g \approx 32.2 \) ft/s²).

Given: Time 4 second to stop the car and distance taken is 337 ft. Required: Initial speed and the…

A car stops 4 seconds after the application of the brakes while covering a rectilinear stretch 337 feet long. If the motion occurred with a constant acceleration a, determine the initial speed of the car and the acceleration a. Express v in mile-per-hour (mph) and a in terms of g, the acceleration of gravity. S

A car stops 4 seconds after the application of the brakes while covering a rectilinear stretch 337 feet long. If the motion occurred with a constant acceleration a, determine the initial speed of the car and the acceleration a. Express v in mile-per-hour (mph) and a in terms of g, the acceleration of gravity. S

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Intersection Design

An intersection is a location where two or more roads or railways meet or join. The traffic movement is controlled at the intersection that depends on its design and type. It governs the operation, efficiency, speed, capacity, and safety of the highways, airways, and railways. The movement of the pedestrian causes hazards and delays at the intersection.

Question

**Problem Statement:**

A car stops 4 seconds after the application of the brakes while covering a rectilinear stretch 337 feet long. If the motion occurred with a constant acceleration \( a_c \), determine the initial speed \( v_o \) of the car and the acceleration \( a_c \). Express \( v_o \) in mile-per-hour (mph) and \( a_c \) in terms of \( g \), the acceleration of gravity.

**Diagram Explanation:**

The image includes an illustration of a car moving on a straight path, labeled with a distance \( s \). An arrow indicates the direction of motion, suggesting that the car is braking to a stop over the specified distance of 337 feet.

To solve the problem, we can use the kinematic equation:
\[ s = v_o t + \frac{1}{2} a_c t^2 \]

Where:
- \( s = 337 \) feet
- \( t = 4 \) seconds

First, solve for \( v_o \) and \( a_c \) using the given conditions.
Next, to convert \( v_o \) from feet per second to miles per hour, use the conversion factor:
\[ 1 \text{ ft/s} = 0.6818 \text{ mph} \]

Finally, express \( a_c \) in terms of \( g \) (where \( g \approx 32.2 \) ft/s²).

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