A cylindrical tank is 50.0 ft deep, in diameter, and filled to the top with water. A flashlight shines into the tank from above. What minimum angle φ can its beam make with the water surface and still illuminate part of the bottom?

Acatapult is tested by roman legionnaires. they tabulate the results in a papyrus and 2000 years later the archaeological team reads (distances translated into modern units): range = 0.4 km; angle of launch = π/5 rad; landing height = launch height. what is the initial velocity of launch of the boulders if air resistance is negligible?

Atrain departs from its station at a constant acceleration of 5 m/s. what is the speed of the train at the end of 20s?

If y gets smaller as x gets bigger and y have an relationship?