An engineer is redesigning a set of cases for computer equipment. One is a cube with side lengths of Xinches, and the other is a rectangular prism whose size is dependent on the size of the cube.
The volume of the prism is modeled by function v.
v(x) = x^3- 12x^2 + 35x
Use the x-intercepts to write the factored form of the equation representing the volume of the prism.
v(x) =

Kinetic energy of the object = 1250 Joule.

Step-by-step explanation:

Since Kinetic energy K of an object varies with the mass m and velocity v then the relation will be defined as k is directly proportional to m×v²

Therefore K = a×m×v² defines the relation

where a is a constant.

Now an object is having m = 50 kg

v = 20 meters/second

K = 10000 joules

Then from the K = a × m × v²

10000 = a×50×(20)²

a = 10000/(50×400) = 10000/20000 = 1/2

Now we know actual relation is K = (1/2)mv²

If an object is having m = 25kg

v = 10 meters/sec

Then K = (1/2)×25×(10)² = 2500/2 = 1250 joule

Therefore kinetic energy of this object will be 1250 joule.