Question

A quarterback takes the ball from the line of scrimmage and runs backward for 10 m then sideways parallel to the line of scrimmage for 15 m. the ball is thrown forward 50 m perpendicular to the line of scrimmage. the receiver is tackled immediately. how far is the football displayed from its original position?

a) 75 m
b) 65 m
c) 50 m
d) 25 m

Answer 1

The football ends up 40 m away from its original position after the quarterback's actions, which include running backward, moving sideways, and throwing the ball forward.

Step-by-step explanation:

To determine how far the football is displaced from its original position after the quarterback's actions, we need to consider the total displacement caused by each segment of motion. First, the quarterback runs backward for 10 m, then sideways for 15 m, and finally, the ball is thrown forward for 50 m. Displacement is a vector quantity, which means it has both magnitude and direction.

Since the sideways motion is parallel to the line of scrimmage, it does not affect the forward or backward displacement. Therefore, the only displacements we need to consider are the 10 m backward run and the 50 m forward throw. These two displacements are in opposite directions, so they will subtract from each other:

50 m - 10 m = 40 m

The football is 40 m away from its original position, perpendicular to the line of scrimmage, after the entire sequence of events.