Describe the relationship between speed and kinetic energy

Speed is equal to distance divided by time. ... Therefore, the kinetic energy of an object is proportional to the square of its velocity (speed). In other words, If there is a twofold increase in speed, the kinetic energy will increase by a factor of four.

Step-by-step explanation:

Speed is equal to distance divided by time. Velocity is speed in a particular direction. For the purposes of your question, we can think of speed and velocity as being the same thing.

Kinetic energy (KE) is the energy of motion. Any object that is in motion has kinetic energy. Kinetic energy is described by the following equation, where m = mass of the object (kg) and v = velocity:

KE = 1/2 x m x ~v^2

Therefore, the kinetic energy of an object is proportional to the square of its velocity (speed). In other words,

If there is a twofold increase in speed, the kinetic energy will increase by a factor of four.

If there is a threefold increase in speed, the kinetic energy will increase by a factor of nine.

If there is a fourfold increase in speed, the kinetic energy will increase by a factor of sixteen

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

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