Engineering Mechanics: Statics & Dynamics (14th Edition)

Published by Pearson
ISBN 10: 0133915425
ISBN 13: 978-0-13391-542-6

Chapter 12 - Kinematics of a Particle - Section 12.2 - Rectilinear Kinematics: Continuous Motion - Problems - Page 19: 22


$h_{alt}=314$ m $v=72.5$ m/s

Work Step by Step

$(+\downarrow)$ $s=s_0+v_0t+\frac{1}{2}a_ct^2$ $h=0+(-6)(8)+\frac{1}{2}(9.81)(8)^2$ $h=265.92m$ During $t=8$s, the balloon rises $h'=vt=6(8)=48$ m $h_{alt}=h+h'=265.92+48=314$ m $(+\downarrow)$ $v=v_0+a_ct$ $v=-6+9.81(8)=72.5$ m/s
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