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Vectors and Motion in Two Dimensions

AP Physics 1· difficulty 2/5

For a fixed launch speed on level ground (no air resistance), the angle that maximizes range is

  • A

    30∘30^\circ

  • B

    60∘60^\circ

  • C

    45∘45^\circ

    check_circle
  • D

    90∘90^\circ

Explanation

R=v02sin⁡(2θ)/gR = v_0^2 \sin(2\theta)/g is maximum when sin⁡(2θ)=1\sin(2\theta) = 1, i.e. θ=45∘\theta = 45^\circ.

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