why is it negative -45? Shouldnt it be positive?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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why is it negative -45? Shouldnt it be positive? 

A stone is thrown from the top of the bldg upwd at an angle of 30° to
the horizontal with an initial speed of 20m/s. The height from which
the stone is thrown is 45m above the ground. (a) How long does it
take the stone to reach the ground? (b) What is the speed of the stone
just before it strikes the ground?
Vxi = V; Cos0; =(20m/s)cos300 = 17.3m/s
Vyi = V;sin0; = (20m/s)sin300 =10.0m/s
Y; = y; +Vyjt + (1/2)a, ²
-45m = 0 +(10m/s)t +(1/2)(-9.8m/s2)t2
t=4.22s
V; = 20.0 m/s
0;= 30.0°
0.
Vyf = Vyi + a,t
=10m/s+(-9.8m/s²)(4.22s)
45.0 m
=-31.3m/s
V=vf + v3f
[(17.3m/s)²+(-31.3m/s)²]!2 = 35.8m/s
D D D D D D O D O
Transcribed Image Text:A stone is thrown from the top of the bldg upwd at an angle of 30° to the horizontal with an initial speed of 20m/s. The height from which the stone is thrown is 45m above the ground. (a) How long does it take the stone to reach the ground? (b) What is the speed of the stone just before it strikes the ground? Vxi = V; Cos0; =(20m/s)cos300 = 17.3m/s Vyi = V;sin0; = (20m/s)sin300 =10.0m/s Y; = y; +Vyjt + (1/2)a, ² -45m = 0 +(10m/s)t +(1/2)(-9.8m/s2)t2 t=4.22s V; = 20.0 m/s 0;= 30.0° 0. Vyf = Vyi + a,t =10m/s+(-9.8m/s²)(4.22s) 45.0 m =-31.3m/s V=vf + v3f [(17.3m/s)²+(-31.3m/s)²]!2 = 35.8m/s D D D D D D O D O
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