Question

A student conducts an investigation into the motion of objects dropped from rest in the absence of air resistance. The student releases objects of various masses in a vacuum chamber and records the speed and distance fallen every 0.1 seconds for each object. What experimental evidence would lead the student to conclude that free-fall motion is constant acceleration? Select two answers. A. All objects released from rest at the same time fall together.B. The distance fallen is proportional to the square of the falling time.C. A graph of velocity vs. time is linear. D. Objects speed up as they free-fall. One of your answers can be explained using a basic equation of motion. Which answer is it and which equation is it? One of your answers can be explained using a rule about how acceleration appears on a certain graph. State the graph rule, then explain why “constant acceleration” looks the way that it does on this certain graph.

Answer 1

`\begin{gathered} The\text{ evidence B and C make conclude the free-fall motion is constant} \\ acceleration. \\ \\ Explain \\ Evidence\text{ B} \\ Equation\text{ of the distance fallen of an object} \\ y=y_0+v_0t+(at^2)/(2) \\ We\text{ can see the distance fallen is proportional to the square of time} \\ \\ Evidence\text{ C} \\ When\text{ the acceleration is constant, the graph of velocity vs time} \\ has\text{ a shape of a line. We can see it at the pic attached} \end{gathered}`