Question

Hugo's bike tire has a piece of gum stuck to it.

Answer 1

Answer:

G(t) = 35*sin(10*t) + 35

Step-by-step explanation:

In the figure attached, the question is shown. The function has the form:

G(t) = a*sin(b*t) + d

We know that at t = 0, G(t) = 35. Replacing into the equation:

35 = a*sin(b*0) + d

d = 35

We know that at t = π/20, G(t) = 70, which is a maximum. The maximum is reached when sin(b*t) = 1, replacing into the equation:

70 = a*1 + 35

a = 35

If sin(b*t) = 1, then:

b*t = π/2

b*π/20 = π/2

b = 20/2 = 10