Physics
Physics
Problem
A rock is thrown from the top edge of a seaside cliff 20.0 m above the water. The rock is aimed toward a floating buoy that is 30.0 m horizontally from the base of the cliff and at water level. The rock is released at an angle of 30.0° above the horizontal. Neglect air resistance and use . (a) Calculate the launch speed required for the rock to strike the buoy. (b) Determine the time interval between release and impact.Intuitive explanation
This is a projectile motion problem where you need to find the initial speed by using the constraint that the rock must land at a specific point. The key insight is to split the motion into independent horizontal and vertical components: horizontal motion has constant velocity, while vertical motion is uniformly accelerated. Set up equations for both directions using the known landing position (30.0 m horizontal, 20.0 m down), then solve for the initial speed that satisfies both constraints simultaneously.
Intuitive explanation
This is a projectile motion problem where you need to find the initial speed by using the constraint that the rock must land at a specific point. The key insight is to split the motion into independent horizontal and vertical components: horizontal motion has constant velocity, while vertical motion is uniformly accelerated. Set up equations for both directions using the known landing position (30.0 m horizontal, 20.0 m down), then solve for the initial speed that satisfies both constraints simultaneously.