while getting on I 10, sports car accelerates from 20 mph to 80 mph. The sports

Question

while getting on I 10, sports car accelerates from 20 mph to 80 mph. The sports cars kinetic energy? The answer is D, but why are we only using v^2 if the entire formula for kinetic energy is =(1/2)mv ^2 f. None of the above are true. While getting onto -10, a sports car accelerates from 20 mph to 80 mph. The sports car's kinetic energy a. increases by a factor of 2 b. increases by a factor of 4. c. increases by a factor of 8 d. increases by a factor of 16 e. increases by a factor that depends on the car's mass. f. None of the above.

Explanation / Answer

here,

the kinetic energy , KE = 0.5 * m * v^2

so, the kinetic energy is directly proportional to the sqaure of velocity

from 20 mph to 80 mph

the speed is four times

so, the kinetic energy is 8 times

the correct answer is c) increases by a factor of 8

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