Answer:
87.44m
Explanation:
Using the equation of motion
S = ut+1/2gt²...1 where
S is the distance covered by the ball
u is the velocity = 24m/s
t is the time of flight
g is the acceleration due to gravity = 9.81m/s
theta = angle of inclination = 30°
Before we can get the distance, we need to get the time of flight
t = 2usin(theta)/g
t = 2(24)sin30°/9.81
t = 48(0.5)/9.81
t = 24/9.81
t = 2.45s
Substituting t = 2.45s into equation 1 to get the distance S
S = 24(2.45)+1/2(9.81)(2.45)²
S = 58.8+29.44
S = 87.44m