Could you please write the answers clearly and understandably? Thank you **Question 5:**A carousel has a radius of 18 feet and takes 29 seconds to make one complete revolution. What is the linear speed of the carousel at its outside edge? Express the answer in feet per second. If necessary, round the answer to two decimal places.- A) 0.62 feet per second- B) 113.1 feet per second- C) 10.12 feet per second- D) 3.9 feet per second---**Explanation:**To calculate the linear speed of the carousel, we need to find the circumference of the circle and then divide it by the time it takes to make one complete revolution.1. **Circumference of the Carousel:** The formula for the circumference \( C \) of a circle is given by: \[ C = 2 \pi r \] where \( r \) is the radius. For this carousel, the radius is 18 feet. So, the circumference is: \[ C = 2 \pi \times 18 = 36 \pi \text{ feet} \]2. **Linear Speed Calculation:** Linear speed \( v \) is calculated by dividing the circumference by the time \( t \) taken for one revolution: \[ v = \frac{C}{t} = \frac{36 \pi}{29} \] Using the approximation \( \pi \approx 3.14159 \): \[ v \approx \frac{36 \times 3.14159}{29} \approx 3.90 \text{ feet per second} \]Thus, the correct answer is **D) 3.9 feet per second**.

we know that the circumference of circle is : C = 2 π r Here r is the radius .Given radius = r = 18 feet It takes 29 second to complete 1 revolution . Find linear speed v = ? linear speed v = distance / time Distance = circumference = 2 π r Distance = 2 π( 18 ) = 36 π time = 29 second speed v = 36 π / 29 =3.8999 feet/second Answer : D ) 3.9 feet per second .