Question

1. a motorcycle race is taking place on a flat surface 3 m above the ground. suppose one of the bike wheels 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
b. 37 cm
c. 374 cm
d. 74 cm

1. a spring bounces up and down according to the model $d(t) = 6\cos(60t) - 2$, where $d(t)$ is the displacement in

Explanation:

Step1: Convert ground height to cm

Ground height: \(3\,\text{m} = 300\,\text{cm}\)

Step2: Calculate max nail height

Max height = ground height + 2×radius = \(300 + 2×37 = 374\,\text{cm}\)

Answer:

c. 374 cm