A car starts from rest and travels for t1 seconds with a uniformacceleration a 1. The driver then applies the brakes, causinga uniform acceleration a 2. If the brakes are applied for t2seconds, (a) how fast is the car going just before the beginningof the braking period? (b) How far does the car go before thedriver begins to brake? (c) Using the answers to parts (a) and(b) as the initial velocity and position for the motion of thecar during braking, what total distance does the car travel?Answers are in terms of the variables a 1, a 2, t1, and t 2.

A car starts from rest and travels for t1 seconds with a uniformacceleration a 1. The driver then applies the brakes, causinga uniform acceleration a 2. If the brakes are applied for t2seconds, (a) how fast is the car going just before the beginningof the braking period? (b) How far does the car go before thedriver begins to brake? (c) Using the answers to parts (a) and(b) as the initial velocity and position for the motion of thecar during braking, what total distance does the car travel?Answers are in terms of the variables a 1, a 2, t1, and t 2.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 23P: The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows...

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Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

A car starts from rest and travels for t₁ seconds with a uniform
acceleration a ₁. The driver then applies the brakes, causing
a uniform acceleration a ₂. If the brakes are applied for t₂
seconds, (a) how fast is the car going just before the beginning
of the braking period? (b) How far does the car go before the
driver begins to brake? (c) Using the answers to parts (a) and
(b) as the initial velocity and position for the motion of the
car during braking, what total distance does the car travel?
Answers are in terms of the variables a ₁, a ₂, t₁, and t ₂.

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