Question

During harvest season, Amri will collect all rice husks in conical pile by using a machine. The machines will pour the rice husks on the horizontal land at the rate of 13/90π m³ per minute to form a conical pile of semi vertical angle 30°. Find the rate of change of the height of rice husks at the instant when t=15.​

Answer 1

Answer:

Step-by-step explanation:

My textbook says that a ball dropped vertically and a ball thrown sideways will not only both land simultaneously but their height will be corresponding for the entire fall, as shown in a diagram which has a ball falling vertically and a ball with an arch landing simultaneously.

This has really struck me as it feels intuitive that the ball dropped vertically would land faster, perhaps due to it traveling a shorter distance.

When I tried to think about it for myself, I came to the thought that perhaps it was due to gravity constantly pulling both of the balls, however would the sideways velocity not slow it downwards speed? For eg wouldn't a bullet take longer to land than a dropped bullet as it is traveling straight?