Final answer:
To find the hang time and distance traveled of a projectile launched off a cliff, we can use the equations of projectile motion. The hang time can be found using the equation hang time = 2 * initial velocity * sin(angle) / g. The distance traveled is 220 m
Step-by-step explanation:
To find the hang time and distance traveled of a projectile launched off a cliff, we can use the equations of projectile motion. First, we need to find the time it takes for the projectile to reach the ground. The hang time can be found using the equation:
hang time = 2 * initial velocity * sin(angle) / g
Substituting the given values:
hang time = 2 * 50 m/s * sin(30°) / 9.8 m/s²
hang time ≈ 5.10 s
To find the distance traveled, we can use the equation:
distance traveled = initial velocity * cos(angle) * hang time
Substituting the given values:
distance traveled = 50 m/s * cos(30°) * 5.10 s
distance traveled ≈ 220 m