Question

without air resistance, a kicked ball would reach a maximum height of 6.7 meters and land 38 meters away. with air resistance, the ball would travel 6.7 m vertically and more than 38 m horizontally 38 m horizontally and less than 6.7 m vertically more than 6.7 m vertically and less than 38 m horizontally less than 38 m horizontally and less than 6.7 m vertically

Explanation:

Step1: Analyze vertical motion

Air resistance acts against the motion. When going up, it reduces the upward velocity, so the maximum height will be less than without air resistance ($6.7$ m).

Step2: Analyze horizontal motion

Air resistance acts opposite to the horizontal velocity. It decelerates the ball horizontally, so the horizontal distance will be less than without air resistance ($38$ m).

Answer:

D. less than 38 m horizontally and less than 6.7 m vertically