Two projectiles are thrown from the same point with the velocity of49ms-1. first is
projected making an angle with the horizontal and the second at an angle of (90- ). the
second is found to rise 22.5m higher than the first. find the heights to which each will rise?

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