Question

A weight is attached to a spring that is fixed to the floor. The equation h = 7 cos

height, h, in centimeters after t seconds of the weight being stretched and released.
a. Solve the equation for t.
b. Find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest
position. Calculate your answer using radian angle measure. Round your answers to the nearest
hundredth.

Answer 1

a: t= arccos (h/7)

b: 1 cm = 1.427 s, 3 cm = 1.128 s, 5 cm = .775 s

Explanation:

a: I'm assuming the equation is h=7cos(t)

h/7=cos(t)

t= arccos (h/7)

b: plug this equation in demos and then put x=1, x=2, x=3 and see where the lines intersect the graph of y=arccos (x/7), the y value will be the answer.