Respuesta :
Answer:
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!!!
