The distance g(t) (in cm) between the gum and the sidewalk as a function of time t (in seconds) can be modeled by a sinusoidal expression of the form a *sin(b*t)+d. at t=0, the gum is half way between the ground and it's maximum height, at 35 cm. the gum reaches its maximum height of 70 cm from the ground pi/20 seconds later. find g(t)