Final answer:
The question pertains to the calculation of the horizontal displacement of a rock ejected from a volcano, using principles of projectile motion and kinematics in physics.
Step-by-step explanation:
The student's question involves calculating the horizontal displacement of a rock thrown from a volcano at a given speed and angle. To solve this problem, we use principles from physics related to projectile motion. The vertical and horizontal components of the projectile's motion must be analyzed separately.
For the horizontal motion, we use the formula horizontal displacement = horizontal speed * time. The horizontal speed can be found by multiplying the initial speed by the cosine of the angle of projection. Since air resistance is negligible, this horizontal speed remains constant.
For the vertical motion, we need to find the time it takes for the rock to reach 10m below its starting altitude. This involves using the kinematic equation for vertical displacement, which involves the initial vertical speed (the initial speed times the sine of the angle), the acceleration due to gravity, and the time of flight. After determining the time, we can then calculate the horizontal displacement using the found horizontal speed and time.