AS physics projectiles MCQ

Hi, I was wondering if someone could please help me with the following question:

The answer is D.

I understand why tp<tq because tp has a greater weight thus it takes longer for air resistance = weight and thus p has greater terminal velocity so it reaches the ground first.
However, I don't understand why dp>dq because the only difference between p and q is that p has a greater mass and smaller time. So I thought that the horizontal velocity of p and q is the same, but as the time period of P is smaller, it would travel a shorter distance.

Thank you very much for any help!

Reply 1

Abedshehabi

5

P has a greater mass but it is less affected by air resistance because it has more inertia. Think about throwing a feather vs throwing a bowling ball. The horizontal acceleration of both without air resistance is 0. But since P is less affected by air resistance, it will be decelerated less than Q, so it will travel a greater horizontal distance.

Reply 2

Felix'sfreckles

OP

13

Original post by Abedshehabi

P has a greater mass but it is less affected by air resistance because it has more inertia. Think about throwing a feather vs throwing a bowling ball. The horizontal acceleration of both without air resistance is 0. But since P is less affected by air resistance, it will be decelerated less than Q, so it will travel a greater horizontal distance.