Question

The equation models the (h) height in centimeters after (t) seconds of a weight ttached to the end of a spring that has been stretched and released.

h=7cos(pi/3 t) Solve for t.

Answer 1

t = 3 arc cos(h/7)/π

Explanation:

The equation h=7cos(pi/3 t) models the (h) height in centimeters after (t) seconds of a weight attached to the end of a spring that has been stretched and released. To solve the equation for t we will solve the equation step by step:

h=7cos(pi/3 t)

Step 1)

Divide both sides by 7

h/7 = 7cos(pi/3 t)/7

Now the equation becomes h/7=cos(pi/3 t)

Step 2)

h/7=cos(pi/3 t)

Now apply inverse cosine function:

arc cos (h/7) = pi/3 t

Step 3)

t = 3 arc cos(h/7)/pi

Thus t = 3 arc cos(h/7)/pi ....