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An elastic band is hung on a hook and a mass is hung on the lower...

An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of motion is s = 5 cos(t) + 7 sin(t), t ≥ 0, where s is measured in centimeters and t in seconds. (Take the positive direction to be downward.)

(c) When does the mass pass through the equilibrium position for the first time? (Round your answer to two decimal places.)

t = ________ s

(d) How far from its equilibrium position does the mass travel? (Round your answer to two decimal places.)

s = _______cm

Math   Calculus   
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