Question

Boris is riding a ferris wheel at a carnival. After a time t, his height H above the ground is given by the following formula. H=a cos(bt)+c Find Boris's height above the ground when a=-15m,b=2.241 rad/s,t=3s, and c=23m

Answer 1

Boris height above the ground is 9.428m

Explanation:

Boris height above the ground is given by the formula;

H = a cos(bt) + c

Now, we are told that,

a = -15m

b = 2.241 rad/s

t = 3s

c = 23m

Plugging in the relevant values, we have;

H = -15 cos (2.241 * 3) + 23

H = -15 cos(6.723 rad) + 23

cos(6.723rad) = 0.9048

Thus,

H = (-15 × 0.9048) + 23

H = 9.428 m

So boris height above the ground is 9.428m