Explanation:
y = ½ at²
Multiply both sides by 2:
2y = at²
Divide both sides by a:
t² = 2y/a
Take the square root of both sides:
t = √(2y/a)
Answer:
a) 
b) 
c) 
d) 
e)
&
f) 
Explanation:
From the question we are told that:
Stretch Length 
Mass 
Total stretch length
a)
Generally the equation for Force F on the spring is mathematically given by


b)Generally the equation for Max Velocity of Mass on the spring is mathematically given by

Where
A=Amplitude

And

Therefore


c)
Generally the equation for Max Acceleration of Mass on the spring is mathematically given by



d)
Generally the equation for Total mechanical energy of Mass on the spring is mathematically given by



e)
Generally the equation for the period T is mathematically given by



Generally the equation for the Frequency is mathematically given by


f)
Generally the Equation of time-dependent vertical position of the mass is mathematically given by

Where
'= signify order of differentiation
By striking another object that is free to move, the moving object can exert a force and cause the second object to shift its position. While the object is moving, it has the capacity for doing work. Energy means the ability to do work, so all moving things have energy by virtue of their motion.
Translation: Al golpear otro objeto que se puede mover libremente, el objeto en movimiento puede ejercer una fuerza y hacer que el segundo objeto cambie de posición. Mientras el objeto se mueve, tiene la capacidad de realizar un trabajo. Energía significa la capacidad de realizar un trabajo, por lo que todas las cosas en movimiento tienen energía en virtud de su movimiento.
The hardest part of the job is to find the right formula to use, and write it down. You've already done that ! The rest is just turning the crank until an answer falls out.
You wrote. E = m g h.
Beautiful.
Now divide each side by (g h), and you'll have the formula for mass:
m = E / (g h).
You know all the numbers on the right side. Just pluggum in, do the arithmetic, and you'll have the mass.