Final answer:
Using projectile motion principles, one can calculate the maximum speed imparted to a football kicked at a 45° angle to clear a 3-m high crossbar and whether it can pass above an onrushing lineman's reach.
Step-by-step explanation:
Understanding Projectile Motion in Football
When a field goal kicker kicks a football at a 45° angle to the horizontal with the ball just clearing a 3-m high crossbar 45.7 m away, we can analyze the scenario using projectile motion principles to solve part (a) of the question. Applying the kinematic equations for projectile motion, considering the acceleration due to gravity and the distance of the field goal, we can calculate the maximum speed (initial velocity) imparted to the football. For part (b), we would compare this speed to the requirements for the ball's trajectory to clear the reach of the lineman at 4.6 m away. The ball must have a trajectory, so it reaches a height above 2.5 m at the point where the lineman is positioned. Finally, for part (c), a similar evaluation would determine whether the ball clears the lineman who is only 1.0 m away from the kicker.
Additional calculations involving angles, time of flight, and vertical displacement are required to accurately determine if the kicks in parts (b) and (c) will be successful. Through these calculations, we will ascertain if the football can clear the lineman's reach and still make the field goal.