B. Using the equation above, solve for t when vy = 0.0 m/s, vy(initial) = 57.45 m/s, and g = 9.81 m/s2.

-5.86secs

Explanation:

Using the equation of motion;

vy (final) = vy(initial) + gt

Substitute

0.0 = 57.45 + 9.81t

-57.45 = 9.81t

t = -57.45/9.81

t = -5.86secs

Hence the value of t is  -5.86secs

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.