A boy wants to use his slingshot to shoot water balloons into the air. His sling slingshot has a spring constant of 40 n/m and he pulls it back 1.5 m before releasing the water balloon and launching it into the air. If air resistance can be ignored and the water balloon has a mass of 1 kg, what is the approximate maximum height that the water balloon can reach? Recall that g= 9.8 m/s

think its the third option

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft