Answer:
a) 27 Joules
b) 27 Joules
c) 1.8m
Step-by-step explanation:
m = 1.5kg
v = 6m/s
KE = 0.5 * m * v * v
KE = 0.5 * 1.5 * 6 * 6
= 27J
PE = KE = 27J (Kinetic Energy is converted to Potential Energy at the maximum height. This is one of the applications of conservation of energy)
PE = 27 = mgh where g is the acceleration due to gravity of the earth and it has a constant of

solving for h which will be the maximum height the ball reaches, we have
h = 27/(1.5*10)
h = 1.8m