An object starts from rest at the origin of an xy-coordinate system and has an acceleration with components ax=a and ay=a. After t seconds, the displacement and velocity of the object are Δd1 and v1, respectively. The object is stopped and returned to the origin. The object then starts at rest again with acceleration components ax=2a and ay=2a. After t seconds, the displacement and velocity of the object are Δd2 and v2, respectively. Which of the following correctly relates Δd1 and v1 to Δd2 and v2, respectively?

Question

Responses

Δd2=4Δd1 and v2=2v1

Δd2=2Δd1 and v2=2√v1

Δd2=2√Δd1 and v2=2√v1

Δd2=5√Δd1 and v2=5√v1

Δd2=2Δd1 and v2=2v1