Home i Student: zhu5Semailarizona edu My Accoun Class Management Help February 1

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Home i Student: zhu5Semailarizona edu My Accoun Class Management Help February 1 Begin Date: 1/30/2017 12:00:00 AM Due Date: 21/2017 2:00:00 AM End Date 2/1/2017 2:00:00 AM (22%) Problem 1: Suppose a soccer player kicks the ball from a distance 305 m toward the goal. tus Find the initial speed of the ball if it just passes over the goal,24 m above the ground, given the intitial direction to be 40 above the horizontal Grade Summary vo 21.03 tus sino coso tano (DTI 7 8 9 HoME mpleted Attempts remain cotan0 asino acos0 mpleted per attempt) atano acotano sinh0 cos ho tanho Lcotanho mpleted ODegrees Radians Ivo BACKSPACE DI CEAR I give up! Feedback deduction per feedback. Hints: for a 1% deduction. Hints remaining: 4 What direction is the acceleration in this problem? All content c 2017 Expert TA, LLC

Explanation / Answer

Apply range equation in kinematic to solve the problem

x = v cos theta t

t = x/ v cos thteta

from the kinematic equation

s = v sin theta t - 1/2 gt^2

2.4 = v sin thets ( x/ v cos theta) - 1/2 g t^2

2.4 m = x tan 40 - 1/2 (9.8) t^2

2.4 m = 30.5 m * tan 40 - 4.9 t^2

t= 2.17 s

since x = v cos theta * t

v cos 40 * 2.17 = 30.5 m

v= 30.5/2.17 * cos 40

=18.34 m/s

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