a student is investigating the motion of a coffee filter as it falls to the ground through the air. a graph…

a student is investigating the motion of a coffee filter as it falls to the ground through the air. a graph of the velocity v of the coffee filter as a function of time t is shown in the figure. which of the following describes the changes in the magnitude of the acceleration and magnitude of resistive force of the coffee filter as it falls?\nacceleration\tresistive force\na\tdecreasing\tdecreasing\nb\tdecreasing\tincreasing\nc\tincreasing\tdecreasing\nd\tincreasing\tincreasing

a student is investigating the motion of a coffee filter as it falls to the ground through the air. a graph of the velocity v of the coffee filter as a function of time t is shown in the figure. which of the following describes the changes in the magnitude of the acceleration and magnitude of resistive force of the coffee filter as it falls?\nacceleration\tresistive force\na\tdecreasing\tdecreasing\nb\tdecreasing\tincreasing\nc\tincreasing\tdecreasing\nd\tincreasing\tincreasing

Answer

Explanation:

Step1: Recall acceleration - velocity relationship

Acceleration is the slope of the velocity - time graph. The slope of the given $v - t$ graph is decreasing as time progresses. So the magnitude of the acceleration is decreasing.

Step2: Analyze force equilibrium and resistive force

The forces acting on the coffee - filter are gravitational force $F_g = mg$ (downward) and resistive force $F_r$ (upward). According to Newton's second law $F_{net}=ma = mg - F_r$. As $a$ decreases (from Step 1) and $mg$ is constant, the resistive force $F_r=mg - ma$ must be increasing.

Answer:

B. Decreasing, Increasing