Solve the Problem $t$ (In Seconds), Required for a Block to Slide Down an Required

question 90

Multiple Choice

Solve the problem.
-Ignoring friction, the time, $t$ (in seconds) , required for a block to slide down an inclined plane is given by the formula $t = \sqrt { \frac { 2 b } { g \sin \theta \cos \theta } }$ where $b$ is the length of the base in feet and $g = 32.2$ feet per second is the acceleration of gravity. How long does it take a block to slide down an inclined plane with a base of 12 feet at an angle of $36 ^ { \circ }$ ? Round your answer to three decimal places.

• A) \(7.104 \mathrm { sec }\)
• B) \(0.361 \mathrm { sec }\)
• C) \(0.885 \mathrm { sec }\)
• D) \(1.252 \mathrm { sec }\)

---

Definitions:

Presbyopia

A common age-related condition where the eye's lens loses its ability to focus properly, leading to difficulty in reading or seeing objects up close.

Floaters

Visual phenomena where small spots or threads appear to float across one's field of vision, typically due to age-related changes in the eye's vitreous humor.

Vitreous Fibers

Vitreous fibers are small, fibrous materials, often used in insulation, that can be hazardous to the lungs if inhaled.

Snellen Chart

A chart used to measure visual acuity, featuring lines of letters in decreasing size, which the patient reads from a set distance.