To solve this problem it is necessary to apply the concepts related to the kinetic energy expressed in terms of simple harmonic movement, as well as the concepts related to angular velocity and acceleration and linear acceleration and velocity.
By definition we know that the angular velocity of a body can be described as a function of mass and spring constant as

Where,
k = Spring constant
m = mass
From the given values the angular velocity would be


The kinetic energy on its part is expressed as

Where,
A = Amplitude
= Angular Velocity

PART A) Replacing previously given values the energy in the system would be



PART B) Through the amplitude and angular velocity it is possible to know the linear velocity by means of the relation



PART C) Finally, the relationship between linear acceleration and angular velocity is subject to



I pretty sure it’s the mantle
Answer:
Explanation:
Given
Acceleration a = 1.0m/s²
Displacement S = 1.0m
Required
Time t taken by the leaf to displace
Using the equation of motion
S = ut+1/2at²
Substitute
1.0 = 0+1/2(1)t²
1 = t²/2
Cross multiply
t² = 2
t = ±√2
t = 1.41secs
It takes the leaf to 1.41s to displace by 1m upward