If you ignore friction, the amount of time required for a box to slide down an inclined plane is a

ne is Vg sin 0 cos o 'W

i me, where a is the

horizontal distance defined by the inclined plane, g is the acceleration due to gravity and is the angle of the inclined plane. For what

values of g is the expression undefined?

a. 0°

c. both a &b

b. 90°

d. none

Option C is correct.

The expression is undefined when theta is equal to 0° or 90°.

Step-by-step explanation:

If you ignore the friction, the amount of time required for a box to slide down an inclined plane is √(2a/g•sin(theta)•cos(theta)), where a is the horizontal distance defined by the inclined plane, g is the acceleration due to gravity and theta is the angle of the inclined plane. For what values of theta is the expression undefined?

A. 0°

B. 90°

C. Both A and B

D. None

An expression is said to be undefined when its value doesnt take on a real number value, e.g., its value goes to infinity.

And the value of a fractional expression goes to infinity when the denominator is equal to 0.

In the given expression for time,

√(2a/g•sin(theta)•cos(theta)),

The denominator of the expression is

g•sin(theta)•cos(theta)

Since g (acceleration due to gravity) cannot be zero, this expression will go to zero if either

Sin (theta) = 0

or

Cos (theta) = 0

Sin (theta) = 0 when (theta) = 0°

Cos (theta) = 0 when (theta) = 90°

Hence, it is easy to see that the expression given for the amount of time required for a box to slide down an inclined plane becomes undefined when (theta) = 0° or 90°.

Hope this Helps!!!