In a football game, a player wants to kick the ball as far as possible, but also make sure that it stays in the air as long as possible, so that there is enough time for other players to run down the field and tackle the receiver. If the football is supposed to travel a distance of 49.8 m and stay in the air for 4.41 s, what initial angle and speed does the player have to provide? You can assume that the initial and final vertical coordinate are zero. Hint: Start from the range equation that you derived in class

In a football game, a player wants to kick the ball as far as possible, but also make sure that it stays in the air as long as possible, so that there is enough time for other players to run down the field and tackle the receiver. If the football is supposed to travel a distance of 49.8 m and stay in the air for 4.41 s, what initial angle and speed does the player have to provide? You can assume that the initial and final vertical coordinate are zero. Hint: Start from the range equation that you derived in class

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...

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In a football game, a player wants to kick the ball as far as possible, but also make sure that it stays in the air as long as possible, so that there is enough time for other players to run down the field and tackle the receiver. If the football is supposed to travel a distance of 49.8 m and stay in the air for 4.41 s, what initial angle and speed does the player have to provide? You can assume that the initial and final vertical coordinate are zero.
You hit a ball with an initial velocity of 25 m/s at an angle of 34° above the horizontal. You are at an initial height of 24 m above the point where the ball lands. What is the magnitude of the velocity of the ball just before it lands? Use a kinematic approach.
A soccer player decides that he can make this goal to win the game so he kicks the ball with a speed of 8.5 m/s at an angle of 25.0° above the horizontal. How long was the ball in the air, assuming that the ball lands on the same level it was kicked.
Jack Sparrow stands on top of a cliff 82.0m tall and throws a rock with an initial velocity of 28.0m/s at an angle of 15.0° below the horizontal. a) How far from the base of the cliff will rock land? b) What will be the velocity of the rock when it reaches the ground?
A firework shell is shot into the air with an initial speed of 60.0 m/s at an angle of 80.0° above the horizontal. The fuse will ignite the shell just as it reaches its highest point above the ground. (a) How much time passes between the launch of the shell and the explosion? (b) Calculate the height at which the shell explodes. (c) What is the horizontal displacement of the shell when it explodes? (d) What is the total displacement from the point of launch to the highest point?
A soccer ball is kicked with an initial speed of 30 m/s at an angle of 25° with respect to the horizontal. Draw picture. Find (a) the x and y components of initial velocity. (b) the maximum height reached by the ball. (c) the speed of the ball when it is at the highest point on its trajectory. (d) After this ball land on ground, what is its displacement in y-direction? Assume level ground.
Skeet Shooting is an Olympic sport for rifle marksmen. A skeet is a clay target. A lady marksman goes out to practice and sets her skeet launcher at a position 25 meters north and 40 meters west from where she intends to stand. When she yells “Pull!”, a skeet is launched due East at an angle of 37 degrees above the ground with an initial speed, vo. The marksman only fires due north. Two seconds after she yells “Pull!”, the bullet from her gun hits the clay skeet in the air. At what height did the clay skeet shatter? Neglect air friction effects. {Use sin(37o) = 3/5; cos(37o) = 4/5; and g = 10 m/s2 }
Skeet Shooting is an Olympic sport for rifle marksmen. A skeet is a clay target. A lady marksman goes out to practice and sets her skeet launcher at a position 25 meters north and 40 meters west from where she intends to stand. When she yells “Pull!”, a skeet is launched due East at an angle of 37 degrees above the ground with an initial speed, vo. The marksman only fires due north. Two seconds after she yells “Pull!”, the bullet from her gun hits the clay skeet in the air. At what height did the clay skeet shatter? Neglect air friction effects. {Use sin(37 degrees) = 3/5; cos(37 degrees) = 4/5; and g = 10 m/s2 }
A projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up from the horizontal. If the projectile lands 100 m from the base of the cliff how tall is the cliff?
A place kicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 22.4 m/s at an angle of 48.0° to the horizontal. By how much does the ball clear or fall short of clearing the crossbar? (Enter a negative answer if it falls short.)
A football player punts the ball from the ground at a 45.0° angle above the horizontal. Without an effect from the wind, the ball would travel a total horizontal distance of 63 m before hitting the ground. What is the initial speed of the ball in m/s? When the ball is near its maximum height it experiences a brief gust of wind that reduces its horizontal velocity by 1.5 m/s. What total distance, in meters, does the ball travel horizontally before returning to the ground?
A baseball is hit into the air at an initial speed of 32.7 m/s and an angle of 49.7° above the horizontal. At the same time, the center fielder starts running and catches the ball on its way down when the ball is 0.906 m above the level at which it was hit. If the center fielder is initially 1.11 x 10² m from home plate, what must be his average speed? Number i Units Save for Later Attempts: 0 of 1 used Submit Answer