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Number 7 show all work

Number 7 show all work

College Physics
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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Number 7 show all work
4) The figure below shows the initial position i and the final position f of a particle. What are the (a) initial position vector ri and (b) final position vector r, both in unit-vector notation? (c) What is the x component of displacement Ar? 3 m 2 m I m 4 m 4 m. 3m 3 m 5) A fastball pitcher can throw a baseball at a speed of 90.0 mi/h. (a) Assuming the pitcher can release the ball 16.7 m from home plate so the ball is moving horizontally, how long does it take the ball to reach home plate? (b) How far does the ball drop between the pitcher's hand and home plate? 6) A soccer goal is 2.44 m high. A player kicks the ball at a distance 10.0 m from the goal at an angle of 25.0°. The ball hits the crossbar at the top of the goal. What is the initial speed of the soccer ball? 7) A ball thrown at 20.0 m/s at angle 0 below the horizontal from a cliff of height H lands 69.0 m from the base 4.00 s later. Find 0 and H. 8) (a) An object is launched from ground level with an initial velocity vo at angle 0 above the horizontal. Show that the maximum height H is given by (vo sin 0)² 2g (b) A ball is kicked with an initial angle of 30' and just barely clears a 2.75 m fence. What was the initial speed of the ball?
Transcribed Image Text:4) The figure below shows the initial position i and the final position f of a particle. What are the (a) initial position vector ri and (b) final position vector r, both in unit-vector notation? (c) What is the x component of displacement Ar? 3 m 2 m I m 4 m 4 m. 3m 3 m 5) A fastball pitcher can throw a baseball at a speed of 90.0 mi/h. (a) Assuming the pitcher can release the ball 16.7 m from home plate so the ball is moving horizontally, how long does it take the ball to reach home plate? (b) How far does the ball drop between the pitcher's hand and home plate? 6) A soccer goal is 2.44 m high. A player kicks the ball at a distance 10.0 m from the goal at an angle of 25.0°. The ball hits the crossbar at the top of the goal. What is the initial speed of the soccer ball? 7) A ball thrown at 20.0 m/s at angle 0 below the horizontal from a cliff of height H lands 69.0 m from the base 4.00 s later. Find 0 and H. 8) (a) An object is launched from ground level with an initial velocity vo at angle 0 above the horizontal. Show that the maximum height H is given by (vo sin 0)² 2g (b) A ball is kicked with an initial angle of 30' and just barely clears a 2.75 m fence. What was the initial speed of the ball?
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Motion of projectile can be divided into x component and y component. 

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