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.

  the unit of the measure =

explanation:

  the property that is quantified by the energy needed per of material to raise the temperature by one.

  si unit of energy = joule (j)

  si unit of temperature = kelvin (k)

  si unit of mass of material = kilogram (kg)

the property that is quantified by the energy needed per of material to raise the temperature by one is called specific heat.

the unit of specific heat is