Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q. 52 (page 62)

The minimum stopping distance for a car traveling at a speed

of 30 m/s is 60 m, including the distance traveled during the

driver’s reaction time of 0.50 s. What is the minimum stopping distance for the same car traveling at a speed of 40 m/s?

Short Answer

Expert verified

Minimum stopping distance travelled by the car at a speed of40m/sis100m.

Step by step solution

01

Given information

Speed of the car is u=30m/s.

Stopping distance of the car with this speed isD=60m.

Reaction time taken by the driver, t=0.50s.

02

Calculation of the distance travelled while deacceleration

During reaction time, the distance travelled by the driver is,

x=utx=30×0.50mx=15m

Therefore, while slowing down, distance travelled by the driver is,

s=D-xs=60-15ms=45m

03

Calculation of stopping distance

Initial acceleration of the car can be calculated as,

0=u2+2asa=-u22sa=-3022×45a=-10m/s2

Now, considering the initial speed as u'=40m/s,distance travelled by the car during constant motion is,

s1=u'ts1=40×0.5ms1=20m

The distance travelled by the car during slowing down can be obtained as,

0=u'2+2as2s2=-u'22as2=-4022-10ms2=80m

Therefore, minimum stopping distance should be,

S=s1+s2S=20+80mS=100m

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A basketball player can jump to a height of 55 cm. How far

above the floor can he jump in an elevator that is descending at a constant 1.0 m/s?

The takeoff speed for an Airbus A320 jetliner is 80 m/s. Velocity

data measured during takeoff are as shown.

a. Is the jetliner’s acceleration constant during takeoff?

Explain.

b. At what time do the wheels leave the ground?

c. For safety reasons, in case of an aborted takeoff, the runway must be three times the takeoff distance. Can an A320 take off safely on a 2.5-mi-long runway?

You are at a train station, standing next to the train at the front of the first car. The train starts moving with constant acceleration, and 5.0 s later the back of the first car passes you. How long does it take after the train starts moving until the back of the seventh car passes you? All cars are the same length.

A ball rolls along the smooth track shown in FIGURE P2.43. Each segment of the track is straight, and the ball passes smoothly from one segment to the next without changing speed or leaving the track. Draw three vertically stacked graphs showing position, velocity, and acceleration versus time. Each graph should have the same time axis, and the proportions of the graph should be qualitatively correct. Assume that the ball has enough speed to reach the top.

A very slippery block of ice slides down a smooth ramp tilted at angle u. The ice is released from rest at vertical height h above the bottom of the ramp. Find an expression for the speed of the ice at the bottom
See all solutions

Recommended explanations on Physics Textbooks

Medical Physics

Read Explanation

Electric Charge Field and Potential

Read Explanation

Kinematics Physics

Read Explanation

Physics of Motion

Read Explanation

Magnetism

Read Explanation

Scientific Method Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free