Answer:
The height of the swing at the high point = 0.625 m
Step-by-step explanation:
The speed of the child at the low point, v = 3.5 m/s
Let the mass of the boy be represented by m
Let the height of the swing be represented by h
Acceleration due to gravity, g = 9.8 m/s²
At the low point, the child will have a maximum Kinetic Energy but 0 Potential Energy
At the hight point, the child will have the maximum Potential Energy but 0 Kinetic Energy
Kinetic Energy = 0.5mv²
Potential Energy = mgh
Energy is conserved in the system
Kinetic Energy = Potential Energy
0.5mv² = mgh
Divide both sides by m
0.5v² = gh
0.5(3.5²) = 9.8h
6.125 = 9.8h
h = 6.125/9.8
h = 0.625m
The height of the swing at the high point = 0.625 m