In punting a football, the kicker tries to maximize both the distance of the kick and its "hang time"--the time that the ball is in the air. A kicker gets off a great punt with a hang time of 6.0 s that lands 60 yards from the kicker.
1. What is the speed of the ball as it leaves the kicker's foot?
2. What is the angle of the ball's initial velocity?
See it is a question of the football following a projectile path where the quantities given to us are
Time of flight(T) =6 sec
Range = 60 yards
We need to maximise the time of flight as well as the range
Hence the angle has to be 45degree
Hence ucos(theta) =10yards/sec
Hence u =10/cos(theta) =10√2 yards/sec.
In punting a football, the kicker tries to maximize both the distance of the kick and...
A football kicker lines up to kick a game winning kick. The goalpost is 30m away and the ball must clear the 3.3m high cross-bar. If the kick leaves his foot at an angle of 35 degrees, how fast must the kick be to be good?
A football kicker lines up to kick a game-winning kick. The goalpost is 30m away and the ball must clear the 3.3m high cross-bar. If the kick leaves his foot at an angle of 35 degrees, how fast must the kick be to be good?
A National Football League kicker needs to kick a game-winning field goal from a distance of 45 meters. If the kicker typically kicks the ball with a launch angle of 36.6º, what minimum launch velocity does the kicker need in order for the football to clear the crossbeam of the goalposts 3 meters above the ground?
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 21.2 m/s at an angle of 49.0° to the horizontal. (a) By how much does the ball clear or fall short (vertically) of clearing the crossbar? (Enter a negative answer if it falls short.)
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 23.8 m/s at an angle of 47.0° to the horizontal. (a) By how much does the ball clear or fall short (vertically) of clearing the crossbar? (Enter a negative answer if it falls short.)
In a football game a kicker attempts a field goal. The ball remains in contact with the kicker's foot for 0.0513 s, during which time it experiences an acceleration of 275 m/s2. The ball is launched at an angle of 51.0° above the ground. Determine the (a) horizontal and (b) vertical components of the launch velocity.
In a football game a kicker attempts a field goal. The ball remains in contact with the kicker's foot for 0.0527 s, during which time it experiences an acceleration of 385 m/s2. The ball is launched at an angle of 45.2° above the ground. Determine the (a) horizontal and (b) vertical components of the launch velocity.
In a football game a kicker attempts a field goal. The ball remains in contact with the kicker's foot for 0.0757 s, during which time it experiences an acceleration of 223 m/s2. The ball is launched at an angle of 53.0° above the ground. Determine the (a) horizontal and (b) vertical components of the launch velocity.
In a football game a kicker attempts a field goal. The ball remains in contact with the kicker's foot for 0.050 s, during which time it experiences an acceleration of 310 m/s^2 . The ball is launched at an angle of 50 degree above the ground. Determine the horizontal and vertical components of the launch velocity.
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 21.4 m/s at an angle of 47.0° to the horizontal. (a) By how much does the ball clear or fall short (vertically) of clearing the crossbar? (Enter a negative answer if it falls short.) m (b) Does...