﻿ A soccer ball is sitting 14.9 m directly in front of a goal. You… - Essay solutions

## A soccer ball is sitting 14.9 m directly in front of a goal. You…

A soccer ball is sitting 14.9 m directly in front of a goal. You… A soccer ball is sitting 14.9 m directly in front of a goal.  You run up to the ball and kick it, giving it an initial velocity of 19.2 m/s at an angle of 25 degrees above the horizontal.  When the ball reaches the plane of the goal, what is its elevation, in m? (Use g = 10 m/s2.)  A mortar is fired with velocity 306 m/s at an angle of 24 degrees above the horizontal.  At the highest point in its arc, what is its speed in m/s?  A rock is chucked off a cliff of height 179 m with an initial speed 37 m/s at an angle of 34 degrees above the horizontal.  What is the maximum height of rock above the base of the cliff, in m?  Use g = 10 m/s2. (A graphing calculator such as Desmos could be useful for this question). A rock is chucked off a cliff of height 159 m with an initial speed 54 m/s at an angle of 50 degrees above the horizontal.  How far horizontally has the rock traveled when it hits the ground below the cliff, in m?  Use g = 10 m/s2. (A graphing calculator such as Desmos could be useful for this question).  Science Physics SCIENCE 712

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## Let wo := 1 8]- (a) Show that woGL2(F) = GL2(F). (b) Show that Wa = 12 and woBwo = BT for every B E F2x2. (c) Show that every element A E GL2(F) can…Let wo := 1 8]- (a) Show that woGL2(F) = GL2(F). (b) Show that Wa = 12 and woBwo = BT for every B E F2x2. (c) Show that every element A E GL2(F) can…

Image transcription text5. Let wo := 1 8]- (a) Show that woGL2(F) = GL2(F). (b) Show that Wa = 12 and woBwo = BT for every B E F2x2.(c) Show

## Question: Two mirrors are set up so that they lie along :5 : 0 and y : 0. A ray of light travels along the line: 3; : 5.637 + 22.3 cm where :c is inQuestion: Two mirrors are set up so that they lie along :5 : 0 and y : 0. A ray of light travels along the line: 3; : 5.637 + 22.3 cm where :c is in

Image transcription textQuestion: Two mirrors are set up so that they lie along :5 : 0 and y : 0. A ray of light travels along the line: 3; :5.637