Question

anika and noah are standing on a balcony. anika drops a tennis ball and noah drops a basketball from the same height at the same time. when there is no air resistance, the objects of different masses dropped from rest
with different accelerations and with different displacements.
fall with equal accelerations and with equal displacements.
fall with equal accelerations and with different displacements.
fall with different accelerations and with equal displacements.

Explanation:

In the absence of air - resistance, all objects in free - fall near the Earth's surface experience the same acceleration due to gravity ($g\approx9.8\ m/s^{2}$). Since they are dropped from the same height, their displacements (the distance and direction from the starting point to the ending point) are equal as well.

Answer:

fall with equal accelerations and with equal displacements.