g In an historical movie, two knights on horseback start from rest 84.1 m apart and ride directly toward each other to do battle. Sir George's acceleration has a magnitude of 0.316 m/s2, while Sir Alfred's has a magnitude of 0.289 m/s2. Relative to Sir George's starting point, where do the knights collide?

The knights will collide at 43.854 meters relative to Sir George's starting point.

Explanation:

Let suppose that initial positions of Sir George and Sir Alfred are 0 and 84.1 meters, respectively. If both knights accelerate uniformly, then we have the following kinematic formulas:

Sir George

(1)

Sir Alfred

(2)

Where:

, - Initial position of Sir George and Sir Alfred, measured in meters.

, - Final position of Sir George and Sir Alfred, measured in meters.

, - Initial velocity of Sir George and Sir Alfred, measured in meters per second.

- Time, measured in seconds.

, - Acceleration of Sir George and Sir Alfred, measured in meters per square second.

Both knights collide when , then we simplify this system of equations below:

(3)

If we know that , , , , and , then we have the following formula:

(4)

The time associated with collision is:

And the point of collision is:

The knights will collide at 43.854 meters relative to Sir George's starting point.

talk back to him about the sport and show him your expertise or leave the room

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)