Exam 4: Two-Dimensional Kinematics

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A projectile is fired from ground level with a speed of 150 m/s at an angle 30° above the horizontal on an airless planet where g = 10.0 m/s2.What is the horizontal component of its velocity after 4.0 s?

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An athlete competing in the long jump leaves the ground with a speed of 9.14 m/s at an angle of 55° with the vertical.What is the length of the athlete's jump if air resistance is of no significance?

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Which of the following statements are true about an object in two-dimensional projectile motion with no air resistance? (There could be more than one correct choice. )

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A player kicks a soccer ball in a high arc toward the opponent's goal.At the highest point in its trajectory

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A ball is thrown at an original speed of 8.0 m/s at an angle of 35° above the horizontal.If there is no air resistance,what is the speed of the ball when it returns to the same horizontal level?

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In an air-free chamber,a pebble is thrown horizontally,and at the same instant a second pebble is dropped from the same height.Compare the times of fall of the two pebbles.

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A projectile is fired at an angle above the horizontal at a location where g = 9.8 m/s2.The initial x and y components of its velocity are 86.6 m/s and 50 m/s respectively.At what angle was the projectile fired above the horizontal?

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A hockey puck slides off the edge of a horizontal platform with an initial velocity of 28.0 m/s horizontally in a city where the acceleration due to gravity is 9.81 m/s2.The puck experiences no significant air resistance as it falls.The height of the platform above the ground is 2.00 m.What is the angle below the horizontal of the velocity of the puck just before it hits the ground?

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A football kicker is attempting a field goal from A football kicker is attempting a field goal from   Out.The ball is kicked and just clears the lower bar with a time of flight of   If the angle of the kick was 45°,what was the initial speed of the ball,assuming no air resistance? Out.The ball is kicked and just clears the lower bar with a time of flight of A football kicker is attempting a field goal from   Out.The ball is kicked and just clears the lower bar with a time of flight of   If the angle of the kick was 45°,what was the initial speed of the ball,assuming no air resistance? If the angle of the kick was 45°,what was the initial speed of the ball,assuming no air resistance?

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A projectile is fired from the edge of a cliff as shown in the figure.The initial velocity components are 940 m/s (horizontal)and 96 m/s (vertical).The projectile reaches maximum height at point P and then falls and strikes the ground at point Q.How high is point P above point Q,assuming no air resistance? A projectile is fired from the edge of a cliff as shown in the figure.The initial velocity components are 940 m/s (horizontal)and 96 m/s (vertical).The projectile reaches maximum height at point P and then falls and strikes the ground at point Q.How high is point P above point Q,assuming no air resistance?

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A boulder rolls off of a very high cliff and experiences no significant air resistance.While it is falling,its trajectory is never truly vertical.

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Mary and Debra stand on a snow-covered roof.They both throw snowballs with the same initial speed,but in different directions.Mary throws her snowball downward,at 30° below the horizontal;Debra throws her snowball upward,at 30° above the horizontal.Which of the following statements are true about just as the snowballs reach the ground below? (There could be more than one correct choice. )

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A pilot drops a package from a plane flying horizontally at a constant speed.Neglecting air resistance,when the package hits the ground the horizontal location of the plane will

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An athlete competing in the long jump leaves the ground with a speed of 9.14 m/s at an angle of 35° above the horizontal.How long does the athlete stay in the air,assuming no significant air resistance?

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A hobbyist launches a projectile from ground level on a horizontal plain.It reaches a maximum height of 72.3 m and lands 111 m from the launch point,with no appreciable air resistance.What was the angle of launch if g = 9.80 m/s2?

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The horizontal and vertical components of the initial velocity of a football are 16 m/s and 20 m/s respectively.If there is no air resistance,how long does it take the football to reach the top of its trajectory?

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A boy kicks a football from ground level with an initial velocity of 20 m/s at an angle of 30° above the horizontal.What is the horizontal distance to the point where the football hits the ground if we neglect air resistance?

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A ball is thrown horizontally from the top of a tower at the same instant that a stone is dropped vertically.Which object is traveling faster when it hits the level ground below if neither of them experiences any air resistance?

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A hockey puck slides off the edge of a platform with an initial velocity of 20 m/s horizontally.The height of the platform above the ground is 2.0 m.What is the magnitude of the velocity of the puck just before it touches the ground? You can neglect air resistance.

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A wind farm generator uses a two-bladed propeller mounted on a pylon at a height of 20 m,as shown in the figure.The width of the pylon is very narrow,and the length of each propeller blade is 12 m.A tip of the propeller breaks off just when the propeller is vertical.The fragment flies off horizontally,falls,and strikes the ground at point P with negligible air resistance.Just before the fragment broke off,the propeller was turning uniformly,taking 1.2 s for each rotation.How far is point P from the base of the pylon? A wind farm generator uses a two-bladed propeller mounted on a pylon at a height of 20 m,as shown in the figure.The width of the pylon is very narrow,and the length of each propeller blade is 12 m.A tip of the propeller breaks off just when the propeller is vertical.The fragment flies off horizontally,falls,and strikes the ground at point P with negligible air resistance.Just before the fragment broke off,the propeller was turning uniformly,taking 1.2 s for each rotation.How far is point P from the base of the pylon?

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