Question

1. a motorcycle race is taking place on a flat surface 3 m above the ground. suppose one of the tires has a radius of 37 cm and it has a nail stuck in it. what is the maximum height that the nail obtains with respect to the ground?

a. 337 cm
c. 74 cm
b. 374 cm
d. 37 cm

Explanation:

Step1: Convert ground height to cm

The flat surface is 3 m above ground. Since \(1\,\text{m} = 100\,\text{cm}\), \(3\,\text{m}=3\times100 = 300\,\text{cm}\).

Step2: Find maximum height from flat surface

The tire has radius \(37\,\text{cm}\), so the maximum height the nail reaches above the flat surface is the diameter (since the nail is at the topmost point of the tire), which is \(2\times37 = 74\,\text{cm}\).

Step3: Calculate total height from ground

Add the height of the flat surface and the maximum height above it: \(300 + 74=374\,\text{cm}\).

Answer:

b. 374 cm