 Solution

ID: past-exam-of-the-physics-1-paper-of-the-university-of-oxford/2017/7/i/solution

With no drag force, the horizontal velocity graph is a horizontal line at

v_{0} cos θ

. The vertical velocity graph is a straight line with initial value

v_{0} sin θ

- g

v_{x} = v_{0} cos θ, v_{y} = v_{0} sin θ - g t .

For an upward launch, it crosses zero at the highest point,

t = v_{0} sin θ / g

. The ground-to-ground flight ends at

t = 2 v_{0} sin θ / g

, where

v_{y} = - v_{0} sin θ

. The left panel below shows these components; any continuation after ground contact is only the formal free-flight model.

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