Hugo's bike tire has a piece of gum stuck to it. The distance G(t)G(t)G, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) between the gum and the sidewalk as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\sin(b\cdot t)+da⋅sin(b⋅t)+da, dot, sine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, the gum is halfway between the ground and its maximum height, at 35\text{ cm}35 cm35, start text, space, c, m, end text. The gum reaches its maximum height of 70 \text{ cm}70 cm70, start text, space, c, m, end text from the ground \dfrac{\pi}{20} 20 π start fraction, pi, divided by, 20, end fraction seconds later. Find G(t)G(t)G, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
