Fundamentals of Physics Extended (10th Edition)

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

Chapter 4 - Motion in Two and Three Dimensions - Problems - Page 84: 15a

Answer

$v = -(1.50~m/s)\hat{j}$

Work Step by Step

We can find the time when $v_x = 0$: $v_{xf} = v_{i0}+a_x~t$ $t = \frac{v_{xf} - v_{i0}}{a_x}$ $t = \frac{0 - 3.00~m/s}{-1.00~m/s^2}$ $t = 3.00~s$ We can find $v_y$ at $t = 3.00~s$: $v_{yf} = v_{y0}+a_y~t$ $v_{yf} = 0+(-0.500~m/s^2)(3.00~s)$ $v_{yf} = -1.50~m/s$ We can write the velocity vector in unit-vector notation: $v = -(1.50~m/s)\hat{j}$
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