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1) Compared to a ball thrown at 10 meters per second, which statement describes the change in kinetic energy of a ball of the same mass thrown at 20 meters per second?


2) The kinetic energy of the ball thrown at 20 meters per second is half (½×) the kinetic energy of the ball thrown at 10 meters per second.

3) The kinetic energy of the ball thrown at 20 meters per second is two times (2×) the kinetic energy of the ball thrown at 10 meters per second.

4) The kinetic energy of the ball thrown at 20 meters per second is the same as (=) the kinetic energy of the ball thrown at 10 meters per second.

Answer:

D. 4x as much

Explanation:

The answer is pretty simple. The question is asking about 10m/s and 20m/s right? Take a look at the energy at each point on the graph. At 10m/s the kinetic energy is 100 on the graph. At 20m/s the kinetic energy is 400. You'll notice that 100 x 4 is 400 - That's the answer.

You can also prove this mathematically. The formula for kinetic energy is

[tex]\frac{1}{2}mv^2[/tex]

The question says: constant mass so we can ignore that for now.

(1/2) * 10^2 is (1/2) * 100 = 50

for the 20m/s ball it would be

(1/2) * 20^2 = 400 * 1/2 = 200

Once again, you see that it is 4x

Answer:

It is weird that   you put this  the computer and tech. But it's (D. The kinetic energy of the ball thrown at 20 meters per second is the same as (=) the kinetic energy of the ball thrown at 10 meters per second. !!

Explanation: