Question

The kinetic energy K (in joules) of a falling apple is represented by K=v squared divided by 2 where v is the speed of the apple (in meters per second). How fast is the apple traveling when the kinetic energy is 32 joules?

Answer 1

do subsitution


energy (k)=32

so
32=(1/2)v^2
(I'm pretty sure it is K=(1/2)mv^2, but ok)
times 2 both sides
64=v^2
sqrt both sides
8=v

8m/s is velocity

Answer 2

8 meters per second

Explanation:

Hi, to answer this question we simply have to substitute k=32 in the formula given and solve for v.

K= (v ^ 2) /2

Substituting K=32

32 = (v ^ 2) /2

Solving for v:

32x2= v ^ 2

64 =v ^ 2

√64 =v

8 =v

v= 8 meters per second

When the kinetic energy is 32 joules, the apple is traveling at a speed of 8 m/s.

Feel free to ask for more if needed or if you did not understand something.