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Chapter 3: Q43PE (page 123)
Can a goalkeeper at her/ his goal kick a soccer ball into the opponent’s goal without the ball touching the ground? The distance will be about . A goalkeeper can give the ball a speed of .
No goalkeeper cannot goal kick a soccer ball into the opponent’s goal without the ball touching the ground
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Answer the following questions for projectile motion on level ground assuming negligible air resistance (the initial angle being neither \(0^\circ \) nor \(90^\circ \)):
(a) Is the velocity ever zero?
(b) When is the velocity a minimum? A maximum?
(c) Can the velocity ever be the same as the initial velocity at a time other than at \(t = 0\)?
(d) Can the speed ever be the same as the initial speed at a time other than at \(t = 0\)?
(a) Repeat the problem two problems prior, but for the second leg you walk \(20.0{\rm{ m}}\) in a direction \(40.0^\circ \) north of east (which is equivalent to subtracting \({\rm{B}}\) from \({\rm{A}}\) —that is, to finding \({\rm{R'}} = {\rm{A}} - {\rm{B}}\)).
(b) Repeat the problem two problems prior, but now you first walk \(20.0{\rm{ m}}\) in a direction \(40.0^\circ \) south of west and then \(12.0{\rm{ m}}\) in a direction \(20.0^\circ \) east of south (which is equivalent to subtracting \({\rm{A}}\) from \({\rm{B}}\) —that is, to finding \({\rm{R''}} = {\rm{B}} - {\rm{A}} = - {\rm{R'}}\)). Show that this is the case.
The free throw line in basketball is from the basket, which is above the floor. A player standing on the free throw line throws the ball with an initial speed of releasing it at a height of above the floor. At what angle above the horizontal must the ball be thrown to exactly hit the basket? Note that most players will use a large initial angle rather than a flat shot because it allows for a larger margin of error. Explicitly show how you follow the steps involved in solving projectile motion problems.
A rugby player passes the ball\(7.00{\rm{ m}}\)across the field, where it is caught at the same height as it left his hand.
(a) At what angle was the ball thrown if its initial speed was\(12.0{\rm{ m}}/{\rm{s}}\), assuming that the smaller of the two possible angles was used?
(b) What other angle gives the same range, and why would it not be used?
(c) How long did this pass take?
A ship sets sail from Rotterdam, The Netherlands, heading due north at m/s relative to the water. The local ocean current is 1.50m/s in a directionnorth of east. What is the velocity of the ship relative to the Earth?
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