Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 5 - Force and Motion-I - Problems - Page 118: 28d

Answer

$2.0$.

Work Step by Step

$v = v_{0} - a \Delta t$ $v_{0}$ = initial speed; $v$ = final speed = 0. So, $v_{0} = a \Delta t$. Force remained the same, the acceleration(deceleration in this case) $a$ remains the same. $\Delta t$ is directly proportional to $v_{0}$ So, if speed doubles, the stopping distance $\Delta t$ with be 2 times that earlier. So the factor is $2.0$.
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