Question

match each graph of velocity as a function of time to its respective qualitative graph of acceleration as a function of time. drag the appropriate labels to their respective targets.

Explanation:

Step1: Velocity straight line, positive slope

Slope constant positive → acceleration constant positive (third a-t graph).

Step2: Velocity curve, increasing slope

Slope increasing → acceleration increasing (first a-t graph).

Step3: Velocity straight line, negative slope

Slope constant negative → acceleration constant negative (fourth a-t graph).

Step4: Velocity curve, decreasing slope

Slope decreasing → acceleration decreasing (second a-t graph).

Answer:

First velocity graph → Third acceleration graph, Second velocity graph → First acceleration graph, Third velocity graph → Fourth acceleration graph, Fourth velocity graph → Second acceleration graph