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 = 6 cos(t) + 3 sin(t), t ≥ 0, where s is measured in centimeters and t in seconds. (take the positive direction to be downward.) (a) find the velocity and acceleration at time t. g

Explanation:

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 given by :

Where

s is in centimeters

t is in seconds

Velocity of the particle,

Acceleration of the particle,

Hence, this is the required solution.

v 154.9= 0.9 length length s little over 154.9cm

another example of kinetic energy would be,

kinetic energy   >     moving energy

answer   >   letter choice (c),   a hammer falling off a table.

hope that !                                         : )